Multiply Fractions: Solving 4/3 × 1/2 × 6/5 Step by Step

Question

$\frac{4}{3}\times\frac{1}{2}\times\frac{6}{5}=$

00:00 Solve

00:03 Make sure to multiply numerator by numerator and denominator by denominator

00:08 Calculate the multiplications

00:21 Reduce the fraction as much as possible

00:24 Make sure to divide both numerator and denominator

00:32 And this is the solution to the question

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 : $\frac{4}{5}$ .

$\frac{4}{5}$