Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 21, 2023

Simplify the expression $\frac{5}{3} \cdot \frac{3}{8}$ and choose the correct answer.

STEP 1

Assumptions1. We are multiplying two fractions. . The multiplication of fractions is done by multiplying the numerators together and the denominators together.

STEP 2

To multiply the fractions, we multiply the numerators together and the denominators together.
$\frac{5}{} \cdot \frac{}{8} = \frac{5 \cdot}{ \cdot8}$

STEP 3

Now, plug in the values for the numerators and denominators to calculate the product.
$\frac{5 \cdot3}{3 \cdot8} = \frac{15}{24}$

STEP 4

The fraction $\frac{15}{24}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is3.
$\frac{15}{24} = \frac{15/3}{24/3}$

STEP 5

Calculate the simplified fraction.
$\frac{15/3}{24/3} = \frac{5}{8}$ The product of $\frac{5}{3}$ and $\frac{3}{8}$ is $\frac{5}{8}$ .

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