QuestionMultiply: $\frac{5}{8} \times \frac{2}{9} =$

Studdy Solution

STEP 1

Assumptions1. We are multiplying two fractions $\frac{5}{8}$ and $\frac{}{9}$

STEP 2

The rule for multiplying fractions is straightforward multiply the numerators (the top numbers) to get the new numerator, and multiply the denominators (the bottom numbers) to get the new denominator.
$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$

STEP 3

Now, plug in the given values for the fractions to calculate the result.
$\frac{5}{8} \times \frac{2}{9} = \frac{5 \times2}{8 \times9}$

STEP 4

Multiply the numerators and the denominators.
$\frac{ \times2}{8 \times9} = \frac{10}{72}$

STEP 5

The fraction $\frac{10}{72}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is2.
$\frac{10}{72} = \frac{10 \div2}{72 \div2} = \frac{5}{36}$ So, $\frac{5}{8} \times \frac{2}{9} = \frac{5}{36}$ .

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