Question

1. use structure $\frac{4}{9} \times \frac{7}{8} = \frac{7}{18}$. what is $\frac{7}{8} \times \frac{4}{9}$? how do you know without multiplying?

Explanation:

Step1: Recall multiplication property

Multiplication of fractions is commutative: $a \times b = b \times a$ for any fractions $a,b$.

Step2: Apply to given fractions

Given $\frac{4}{9} \times \frac{7}{8} = \frac{7}{18}$, swap the factors: $\frac{7}{8} \times \frac{4}{9}$ equals the same result.

Answer:

$\frac{7}{18}$; This is known using the commutative property of multiplication, which states that the order of factors does not change the product of two numbers (or fractions).