Question

1. which of the following is equal to \\(\frac{4}{7} \times \frac{7}{15}\\)?

a \\(\frac{4 \times 7}{11 \times 15} = \frac{28}{165}\\)
b \\(\frac{4 \times 15}{7 \times 11} = \frac{60}{77}\\)
c \\(\frac{4 \times 11}{7 \times 15} = \frac{44}{105}\\)
d \\(\frac{7 \times 15}{4 \times 11} = \frac{105}{44}\\)

Explanation:

Step1: Recall fraction multiplication rule

To multiply two fractions $\frac{a}{b} \times \frac{c}{d}$, use $\frac{a \times c}{b \times d}$.

Step2: Apply rule to given fractions

The given expression is $\frac{4}{7} \times \frac{11}{15}$. Substitute into the rule:
$\frac{4 \times 11}{7 \times 15}$

Step3: Calculate numerator and denominator

Numerator: $4 \times 11 = 44$; Denominator: $7 \times 15 = 105$, so $\frac{44}{105}$.

Answer:

C. $\frac{4 \times 11}{7 \times 15} = \frac{44}{105}$