Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Convert a decimal to a fraction with 100 as its denominator

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction as follows:

$\frac{065}{100}$

Finally We'll remove the unnecessary zeros as follows:

$\frac{65}{100}$

Note where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{091}{100}$

Finally let's remove the unnecessary zeros as follows:

$\frac{91}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{017}{100}$

Finally we'll remove the unnecessary zeros as follows:

$\frac{17}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{011}{100}$

Finally we will remove the unnecessary zeros as follows:

$\frac{11}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{055}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{55}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{004}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{4}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{009}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{9}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We'll write the fraction like this:

$\frac{006}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{6}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{001}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{1}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction in the following way:

$\frac{002}{100}$

We will then remove the unnecessary zeros as follows:

$\frac{2}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{038}{100}$

We'll then remove the unnecessary zeros as follows:

$\frac{38}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We'll write the fraction in the following way:

$\frac{033}{100}$

We'll then proceed to remove the unnecessary zeros as follows:

$\frac{33}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{023}{100}$

Let's then proceed to remove the unnecessary zeros as follows:

$\frac{23}{100}$

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

We will write the fraction in the following way:

$\frac{006}{100}$

We will then proceed to remove the unnecessary zeros and obtain the following:

$\frac{6}{100}$

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

• Step 1: Identify the whole number and fractional parts of the given decimal.
  6.01 can be expressed as a sum of its whole number (6) and its fractional part (0.01).
• Step 2: Convert the decimal portion, 0.01, into a fraction.
  Since 0.01 is two decimal places to the right of the decimal point, it can be written as $\frac{1}{100}$.
• Step 3: Combine the whole number and the fractional part into a single fraction.
  Combine the whole number 6 with the fraction $\frac{1}{100}$, we write it as $6 + \frac{1}{100}$.
• Step 4: Express the mixed number as a single fraction.
  To convert 6 into a fraction with a denominator of 100, multiply both numerator and denominator of 6 by 100, i.e., $6 = \frac{600}{100}$.
• Step 5: Add the fractions.
  Combine $\frac{600}{100} + \frac{1}{100}$ to get $\frac{601}{100}$.
• Step 6: Simplify, if possible.
  The fraction $\frac{601}{100}$ is already in simplest form.

Thus, converting the decimal 6.01 to a fraction with 100 as its denominator results in $\frac{601}{100}$.

To convert the decimal 7.13 into a mixed number with 100 as the denominator, we follow these steps:

• Step 1: Identify the integer part of the decimal, which is 7.
• Step 2: Convert the decimal part 0.13 into a fraction.
  - The number 13 is in the hundredths place, which translates to the fraction $\frac{13}{100}$.
• Step 3: Combine the integer part with the fractional part to form the mixed number:
  - Therefore, $7.13 = 7 \frac{13}{100}$.

As a result, the decimal 7.13 is equivalent to the mixed number $7\frac{13}{100}$.

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

• Step 1: Identify the whole number part of $2.13$
• Step 2: Convert the decimal part $0.13$ to a fraction
• Step 3: Combine the whole number with the fraction

Let's work through each step:

Step 1: The whole number part of $2.13$ is $2$.

Step 2: The decimal part is $0.13$. Since there are two decimal places, it can be expressed as a fraction over 100. Specifically, $0.13 = \frac{13}{100}$.

Step 3: Combine the whole number and fraction to form the mixed number. Thus, $2.13$ can be expressed as $2 \frac{13}{100}$.

Therefore, the solution to the problem is $2 \frac{13}{100}$.

To solve the problem of converting $1.11$ to a mixed number with a fraction, follow these steps:

• Step 1: Identify the whole number and the decimal part in $1.11$. The whole number is 1 and the decimal part is 0.11.
• Step 2: Convert the decimal part $0.11$ into a fraction. Since $0.11$ represents eleven hundredths, write it as $\frac{11}{100}$.
• Step 3: Combine the whole number and the fraction to form the mixed number. The result is $1 \frac{11}{100}$.

Therefore, the solution to the problem is $1\frac{11}{100}$.

To solve the problem of converting $3.08$ to a mixed fraction, follow these steps:

• Step 1: Identify the whole number
  The given decimal $3.08$ has a whole number part, which is $3$.
• Step 2: Convert the decimal part to a fraction
  The decimal part is $0.08$. To convert $0.08$ to a fraction, recognize that it represents $\frac{8}{100}$, as 8 is in the hundredths place.
• Step 3: Simplify the fraction
  Simplify $\frac{8}{100}$ by finding the greatest common divisor of 8 and 100, which is 4. Divide both the numerator and the denominator by 4: $\frac{8 \div 4}{100 \div 4} = \frac{2}{25}$.
• Step 4: Combine the whole number with the fraction
  Thus, $3.08$ can be expressed as $3 \frac{2}{25}$.

The correct answer is therefore $3\frac{2}{25}$.

To convert the decimal 4.05 into a fraction, follow these steps:

• Step 1: Separate the whole number from the decimal. The whole number is 4.
• Step 2: Convert the decimal part 0.05 into a fraction.
• Step 3: Write 0.05 as $\frac{5}{100}$, since 0.05 means 5 parts out of 100.
• Step 4: Simplify $\frac{5}{100}$ by finding the greatest common divisor of 5 and 100, which is 5. Divide both the numerator and the denominator by 5:
• $\frac{5}{100} \div \frac{5}{5} = \frac{1}{20}$
• Step 5: Combine the whole number 4 and the fraction $\frac{1}{20}$ to form the mixed number $4\frac{1}{20}$.

Thus, the decimal number 4.05 is equivalent to the mixed number $4\frac{1}{20}$.

Therefore, the correct answer is $4\frac{1}{20}$.