Multiplication of Fractions: More than two fractions

To solve this problem, let's multiply the given fractions step-by-step:

• Step 1: Multiply the numerators of the fractions together: $2 \times 1 \times 4 = 8$
• Step 2: Multiply the denominators of the fractions together: $3 \times 2 \times 5 = 30$
• Step 3: Form the fraction using the results from Steps 1 and 2: $\frac{8}{30}$
• Step 4: Simplify the fraction $\frac{8}{30}$: - Find the greatest common divisor (GCD) of 8 and 30, which is 2. $\frac{8 \div 2}{30 \div 2} = \frac{4}{15}$

The simplified fraction is $\frac{4}{15}$.

Therefore, the correct result of the multiplication is $\frac{4}{15}$.

To solve this problem, I will follow these clear steps:

• Step 1: Multiply the numerators of the fractions: $2 \times 2 \times 1$.
• Step 2: Multiply the denominators of the fractions: $4 \times 3 \times 2$.
• Step 3: Simplify the resulting fraction.

Let's work through each step:

Step 1: Multiply the numerators: $2 \times 2 \times 1 = 4$.

Step 2: Multiply the denominators: $4 \times 3 \times 2 = 24$.

Step 3: Combine these results to write the product as a fraction:

$\frac{4}{24}$.

We need to simplify this fraction:

Find the greatest common divisor (GCD) of 4 and 24, which is 4.

Divide both the numerator and the denominator by their GCD:

$\frac{4}{24} = \frac{4 \div 4}{24 \div 4} = \frac{1}{6}$.

Therefore, the solution to the problem is $\frac{1}{6}$.

To solve the multiplication of the fractions $\frac{4}{3}$, $\frac{1}{2}$, and $\frac{6}{5}$, we'll follow these steps:

• Step 1: Multiply the numerators: $4 \times 1 \times 6 = 24$.
• Step 2: Multiply the denominators: $3 \times 2 \times 5 = 30$.
• Step 3: Form the new fraction: $\frac{24}{30}$.
• Step 4: Simplify the fraction $\frac{24}{30}$:
  Find the greatest common divisor (GCD) of 24 and 30, which is 6.
  Divide both the numerator and the denominator by their GCD:
  $\frac{24 \div 6}{30 \div 6} = \frac{4}{5}$.

Therefore, the product of $\frac{4}{3} \times \frac{1}{2} \times \frac{6}{5} = \frac{4}{5}$.

The correct choice from the given options is : $\frac{4}{5}$.

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

• Step 1: Multiply the numerators
• Step 2: Multiply the denominators
• Step 3: Simplify the resulting fraction
• Step 4: Verify the solution with the given choices

Now, let's work through each step:

Step 1: Multiply the numerators:
$3 \times 1 \times 1 = 3$.

Step 2: Multiply the denominators:
$4 \times 2 \times 2 = 16$.

Step 3: Write the resulting fraction:
$\frac{3}{16}$.

Step 4: Look at the multiple-choice list provided. Our answer, $\frac{3}{16}$, matches choice 1.

The resulting fraction is already in its simplest form. Therefore, the solution to the problem is $\frac{3}{16}$.

To solve this problem, we'll proceed with the following steps:

• Step 1: Multiply the numerators together.
• Step 2: Multiply the denominators together.
• Step 3: Simplify the resulting fraction.

Let's perform these calculations:
Step 1: Multiply the numerators: $2 \times 1 \times 2 = 4$.
Step 2: Multiply the denominators: $5 \times 2 \times 3 = 30$.
Step 3: Form the resulting fraction: $\frac{4}{30}$. Now, simplify the fraction

To simplify $\frac{4}{30}$, find the greatest common divisor (GCD) of 4 and 30, which is 2.
Thus, divide both the numerator and the denominator by 2:

$\frac{4 \div 2}{30 \div 2} = \frac{2}{15}$.

Therefore, the solution to the problem is $\frac{2}{15}$.

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

• Step 1: Multiply the numerators of the fractions together.
• Step 2: Multiply the denominators of the fractions together.
• Step 3: Simplify the resulting fraction, if possible.

Now, let's work through each step:
Step 1: Multiply the numerators: $2 \times 3 \times 4 = 24$.
Step 2: Multiply the denominators: $3 \times 4 \times 5 = 60$.
Step 3: The resulting fraction is $\frac{24}{60}$. Simplify by finding the greatest common divisor of 24 and 60, which is 12.

Divide both the numerator and the denominator by 12:
Numerator: $\frac{24}{12} = 2$
Denominator: $\frac{60}{12} = 5$
Thus, the simplified fraction is $\frac{2}{5}$.

Therefore, the solution to the problem is $\frac{2}{5}$.

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

• Step 1: Multiply the numerators of the given fractions.

• Step 2: Multiply the denominators of the given fractions.

• Step 3: Combine the results into a single fraction.

• Step 4: Simplify the fraction if needed.

Now, let's work through each step:
Step 1: Multiply the numerators: $3 \times 1 \times 1 = 3$.
Step 2: Multiply the denominators: $4 \times 2 \times 6 = 48$.
Step 3: The resulting fraction is $\frac{3}{48}$.

Therefore, the solution to the problem is $\frac{3}{48}$.

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

• Step 1: Multiply the numerators of all fractions.
• Step 2: Multiply the denominators of all fractions.
• Step 3: Simplify the resulting fraction.

Now, let's work through each step:
Step 1: Multiply the numerators: $1 \times 2 \times 7 = 14$.
Step 2: Multiply the denominators: $3 \times 4 \times 5 = 60$.
Step 3: The resulting fraction is $\frac{14}{60}$. Now, we simplify this fraction.

To simplify $\frac{14}{60}$, find the greatest common divisor (GCD) of 14 and 60, which is 2. Divide both the numerator and the denominator by their GCD:
$\frac{14}{60} = \frac{14 \div 2}{60 \div 2} = \frac{7}{30}$.

Therefore, the solution to the problem is $\frac{7}{30}$, which corresponds to choice 3.

The problem requires multiplying the fractions $\frac{5}{4}$, $\frac{1}{2}$, and $\frac{3}{6}$.

Step 1: Multiply the numerators.

We have: $5 \times 1 \times 3 = 15$.

Step 2: Multiply the denominators.

We have: $4 \times 2 \times 6 = 48$.

Step 3: Form the fraction from results of the two steps above.

The product of these fractions is $\frac{15}{48}$.

Step 4: Simplify the fraction.

To simplify $\frac{15}{48}$, we need to find the greatest common divisor (GCD) of 15 and 48. The GCD is 3.

Divide both the numerator and the denominator by their GCD:

$\frac{15 \div 3}{48 \div 3} = \frac{5}{16}$.

Thus, the simplified product of the fractions is $\frac{5}{16}$.

We can compare it against the given answer choices to confirm:

• Choice 1: $\frac{3}{16}$ - incorrect.
• Choice 2: $\frac{5}{16}$ - correct.
• Choice 3: $\frac{15}{48}$ - correct but not simplified.
• Choice 4: $\frac{15}{16}$ - incorrect.

The correct answer choice is Choice 2, $\frac{5}{16}$.

To solve this problem, we'll multiply the given fractions step-by-step:

Step 1: Multiply the numerators and the denominators.
Numerators: $1 \times 4 \times 3 = 12$.
Denominators: $4 \times 3 \times 2 = 24$.

Step 2: Write the new fraction from the results of multiplying the numerators and denominators.
$\frac{12}{24}$.

Step 3: Simplify the fraction by finding common factors in the numerator and denominator.
The greatest common divisor of 12 and 24 is 12. Divide both the numerator and the denominator by 12:
$\frac{12}{24} = \frac{12 \div 12}{24 \div 12} = \frac{1}{2}$.

Therefore, the product of the fractions $\frac{1}{4}$, $\frac{4}{3}$, and $\frac{3}{2}$ is $\frac{1}{2}$.