Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Convert a fraction with a denominator of 10 to a decimal

Let's solve the problem step-by-step:

• Step 1: Identify the mixed number.
  The number given is $10\frac{1}{5}$, which means 10 plus the fraction $\frac{1}{5}$.
• Step 2: Convert the fraction to a decimal.
  The fraction $\frac{1}{5}$ can be converted to a decimal by understanding or recognizing that $\frac{1}{5}$ is equivalent to 0.2. This is because dividing 1 by 5 gives us 0.2.
• Step 3: Combine the whole number and decimal.
  Add the decimal obtained from the fraction to the whole number: $10 + 0.2 = 10.2$.

Thus, the mixed number $10\frac{1}{5}$ is converted to the decimal $10.2$.

To solve this problem, we'll convert the mixed number $1\frac{1}{2}$ into a decimal:

First, we need to convert $\frac{1}{2}$ into a decimal. The fraction $\frac{1}{2}$ is equivalent to $\frac{5}{10}$, because multiplying both the numerator and the denominator by 5 gives us:

• $\frac{1 \times 5}{2 \times 5} = \frac{5}{10}$

Thus, $\frac{1}{2}$ can be represented as $0.5$ in decimal form.

Next, we incorporate this decimal into the whole number part of our mixed number. Our mixed number was $1\frac{1}{2}$, so we simply add the decimal $0.5$ to the whole number 1:

• Whole number: 1
• Decimal from fraction: 0.5

By combining these values, we have:

• $1 + 0.5 = 1.5$

The decimal representation of $1\frac{1}{2}$ is therefore $1.5$.

Therefore, the correct answer is $1.5$.

To solve this problem, we'll follow these steps:

• Step 1: Convert the fraction part of the mixed number $\frac{2}{5}$ to a decimal.
• Step 2: Add this decimal to the whole number part.

Now, let's work through each step:
Step 1: Convert $\frac{2}{5}$ to an equivalent fraction with a denominator of 10. Multiply both the numerator and the denominator by 2:
$\frac{2 \times 2}{5 \times 2} = \frac{4}{10}$ This means $\frac{2}{5} = 0.4$.

Step 2: Add the decimal 0.4 to the whole number part 1:
$1 + 0.4 = 1.4$

Therefore, the solution to the problem is $1.4$.

To convert the mixed number $2\frac{1}{10}$ into a decimal, follow these steps:

• Step 1: Recognize the fractional part is $\frac{1}{10}$. With a denominator of 10, convert it directly to a decimal by placing the numerator in the tenths position: $\frac{1}{10} = 0.1$.

• Step 2: Add this decimal to the integer part (2), so $2 + 0.1 = 2.1$.

The decimal equivalent of the mixed number $2\frac{1}{10}$ is $\text{2}.1$.

Therefore, the solution to the problem is $\text{2}.1$, which matches choice .

To solve this problem, we'll follow these steps:

• Step 1: Convert the fractional part $\frac{1}{10}$ to a decimal.
• Step 2: Add the decimal to the whole number part.

Let's work through each step:

Step 1: Convert the fractional part.
The fraction $\frac{1}{10}$ can be converted to a decimal because its denominator is 10. This means $\frac{1}{10} = 0.1$.

Step 2: Add this decimal value to the whole number.
The original mixed number is $2 \frac{1}{10}$. We now add $2$ (the whole number) and $0.1$ (the decimal equivalent of the fraction):
$2 + 0.1 = 2.1$.

Therefore, the solution to the problem is $2.1$.

The goal is to convert the mixed number $2\frac{1}{5}$ into its decimal form.

We'll focus first on converting the fractional part, $\frac{1}{5}$, to a decimal. To do so, it's useful to express $\frac{1}{5}$ as an equivalent fraction with a denominator of 10. Since $5 \times 2 = 10$, multiply both the numerator and the denominator by 2:

$\frac{1 \times 2}{5 \times 2} = \frac{2}{10}$

This fraction, $\frac{2}{10}$, can be expressed directly as the decimal $0.2$.

Now, combine this decimal with the whole number part of the mixed number:

$2 + 0.2 = 2.2$

Therefore, the decimal equivalent of $2\frac{1}{5}$ is $2.2$.

When comparing with the provided choices, choice 2 correctly corresponds to the decimal \($2.2$\).

To solve this problem, we'll convert the mixed number $2\frac{3}{10}$ into a decimal form.

• Step 1: Convert the fractional part $\frac{3}{10}$ to a decimal. Since the denominator is 10, we convert it directly: $\frac{3}{10} = 0.3$.
• Step 2: Combine the whole number and the decimal fraction. The whole number is $2$, so adding the decimal gives us $2 + 0.3 = 2.3$.
• Step 3: Check against the answer choices provided. The correct decimal equivalent of $2\frac{3}{10}$ is $2.3$ which matches choice number 3.

Therefore, the solution to the problem is $\text{2}.3$.

To convert the mixed number $2\frac{3}{5}$ into a decimal, we will follow these steps:

• Step 1: Express $\frac{3}{5}$ with a denominator of 10. To do this, multiply both the numerator and the denominator by 2, which gives us: $\frac{3 \times 2}{5 \times 2} = \frac{6}{10}$.
• Step 2: Convert $\frac{6}{10}$ to a decimal. Since $\frac{6}{10}$ corresponds to 0.6 as a decimal, we can now express it in decimal form.
• Step 3: Add the whole number portion. We already have the whole number 2 from the mixed number, so combining it with 0.6, we have $2.6$.

Thus, the decimal representation of $2\frac{3}{5}$ is $2.6$.

To solve this problem, we’ll convert the mixed number $3 \frac{1}{2}$ to a decimal:

Step 1: Convert the fraction $\frac{1}{2}$ into a decimal.

• A fraction with a denominator of 2 can be converted to a decimal by finding an equivalent value. $\frac{1}{2}$ is equivalent to 0.5, as 1 divided by 2 is 0.5.

Step 2: Add the decimal equivalent of the fraction part to the whole number.

• This means adding 0.5 to the whole number 3, resulting in $3 + 0.5 = 3.5$.

Therefore, the solution to the problem is $3.5$.

To solve this problem, we'll follow these steps:

• Step 1: Convert the fractional part $\frac{2}{5}$ to a decimal by scaling the fraction.
• Step 2: Add the decimal from the fraction to the whole number.

Let's go through each step in detail:
Step 1: Convert $\frac{2}{5}$ to have a denominator of 10.
To do this, multiply both the numerator and the denominator by 2:

$\frac{2 \times 2}{5 \times 2} = \frac{4}{10}$

This fraction, $\frac{4}{10}$, is equivalent to the decimal $0.4$.

Step 2: Add this decimal to the whole number $4$:
$4 + 0.4 = 4.4$

Therefore, the decimal representation of $4\frac{2}{5}$ is $4.4$.

We need to convert the mixed number $4\frac{2}{5}$ into a decimal. This involves two key steps:

• Convert the fractional part $\frac{2}{5}$ into a decimal.
• Add the decimal result to the whole number 4.

Step 1: Converting the Fraction $\frac{2}{5}$

To convert $\frac{2}{5}$ into a decimal, recognize that moving the denominator from 5 to 10 simplifies the process of finding the decimal equivalent. Multiply both the numerator and denominator by 2:

$\frac{2 \times 2}{5 \times 2} = \frac{4}{10}$

The decimal equivalent of $\frac{4}{10}$ is 0.4.

Step 2: Adding the Decimal to the Whole Number

Now, add the decimal result to the whole number component:

$4 + 0.4 = 4.4$

Thus, the mixed number $4\frac{2}{5}$ as a decimal is $\mathbf{4.4}$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information
• Step 2: Convert the fractional part $\frac{3}{10}$ to a decimal
• Step 3: Combine the decimal with the whole number

Now, let's work through each step:
Step 1: We have the mixed number $4\frac{3}{10}$. The whole number is 4, and the fraction is $\frac{3}{10}$.
Step 2: Convert $\frac{3}{10}$ to a decimal. Since the fraction's denominator is 10, you can directly convert the numerator to a decimal. $\frac{3}{10} = 0.3$.
Step 3: Combine the whole number 4 with the decimal 0.3. The mixed number $4\frac{3}{10}$ in decimal form is $4.3$.

Therefore, the solution to the problem is $4.3$.

To solve this problem, we'll follow these steps:

• Step 1: Convert $\frac{4}{5}$ into a decimal.
• Step 2: Add this decimal to the whole number part.

Now, let's work through each step:

Step 1: We start with the fractional part $\frac{4}{5}$. To convert this into a decimal, we need a denominator of 10.

To get a denominator of 10, multiply both the numerator and the denominator by 2:

$\frac{4}{5} \times \frac{2}{2} = \frac{8}{10}$

This is equivalent to the decimal $0.8$.

Step 2: Add this decimal to the whole number part 4:

$4 + 0.8 = 4.8$

Therefore, the solution to the problem is $4.8$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the given mixed number: $5\frac{1}{5}$.
• Step 2: Convert the fractional part $\frac{1}{5}$ into a decimal by performing the division $1 \div 5$.
• Step 3: Add the resulting decimal to the integer part 5.

Now, let's work through each step:
Step 1: The problem gives us the mixed number $5\frac{1}{5}$.
Step 2: To convert $\frac{1}{5}$ to a decimal, calculate $1 \div 5 = 0.2$.
Step 3: Combine this decimal with the integer part: $5 + 0.2 = 5.2$.

Therefore, the solution to the problem is $5.2$.

To solve this problem, we need to convert the mixed number $5\frac{1}{5}$ into a decimal form.

Here are the steps we'll follow:

• Step 1: Convert the fractional part $\frac{1}{5}$ to a decimal.
• Step 2: Add the converted decimal to the whole number part.

Let's work through these steps:
Step 1: Convert $\frac{1}{5}$ into a decimal:
To do this, divide the numerator (1) by the denominator (5). So, $\frac{1}{5} = 0.2$.

Step 2: Add the decimal result to the whole number:
Now that we have converted the fraction to 0.2, we can add this to the integer part:
$5 + 0.2 = 5.2$.

Therefore, the decimal equivalent of the mixed number $5\frac{1}{5}$ is $5.2$.

To solve this problem, we'll convert the mixed number $6\frac{1}{2}$ into a decimal by addressing the fractional part:

Step 1: Convert $\frac{1}{2}$ to a decimal.

• Recall that $\frac{1}{2} = 0.5$. This equivalence is well-known and straightforward because dividing 1 by 2 gives 0.5.
• Additionally, using the instruction to convert by bringing the denominator to 10 or 100, conceptually $\frac{1}{2} \times \frac{5}{5} = \frac{5}{10} = 0.5$.

Step 2: Add the decimal equivalent of the fraction to the whole number part.

• The whole number part of the mixed number is 6.
• Combine the whole number part with the decimal form of the fraction: $6 + 0.5 = 6.5$.

Thus, the decimal representation of $6\frac{1}{2}$ is $6.5$.

As it pertains to the given answer choices, the correct choice is 2: $6.5$. This matches our derived answer.

To solve this problem, let's convert the fraction in the mixed number to decimal:

• Step 1: Convert the fraction $\frac{1}{2}$ to a decimal.
  This is simply done by dividing 1 by 2:
  $\frac{1}{2} = 1 \div 2 = 0.5$.
• Step 2: Combine this result with the whole number part of the mixed number.
  Thus, the mixed number $6\frac{1}{2}$ becomes:
  $6 + 0.5$.
• Step 3: Add them together:
  $6 + 0.5 = 6.5$.

Therefore, the decimal equivalent of the mixed number $6\frac{1}{2}$ is $6.5$.

To solve this problem, we'll convert the mixed number $8\frac{1}{10}$ to its decimal form by converting the fractional part $\frac{1}{10}$ and adding it to the integer part.

• Step 1: Convert the fraction $\frac{1}{10}$ to a decimal. Since the denominator is 10, $\frac{1}{10}$ is equivalent to 0.1 in decimal form.
• Step 2: Add the decimal result $0.1$ to the integer part $8$. This gives us $8 + 0.1 = 8.1$.

Therefore, the solution to the problem is $8.1$, corresponding to choice 2.

To solve this problem, we'll convert the mixed number $9\frac{3}{10}$ into a decimal:

• The mixed number has a whole part $9$ and a fractional part $\frac{3}{10}$.
• To convert the fractional part $\frac{3}{10}$ to a decimal, recognize it as $0.3$, because when a fraction's denominator is 10, the numerator directly represents the portion to the right of the decimal point.
• Now add the decimal form of the fraction to the whole number:
  $9 + 0.3 = 9.3$.

Therefore, the solution to the problem is $\mathbf{9.3}$.

Let's write the simple fraction as a decimal fraction

$1.0$

Since the fraction divides by 10, we'll move the decimal point once to the left and get:

$.1$

We'll complete the zero before the decimal point and get:

$0.1$