Question

fill in the blanks using only \\(\frac{5}{9}\\), \\(\frac{35}{72}\\), and \\(\frac{7}{8}\\).
(a) \\(\square \times \square = \square\\)
(b) \\(\square \div \square = \square\\)

Explanation:

Step1: Multiply first two fractions

$\frac{5}{9} \times \frac{7}{8} = \frac{5 \times 7}{9 \times 8} = \frac{35}{72}$

Step2: Verify division with the fractions

$\frac{35}{72} \div \frac{5}{9} = \frac{35}{72} \times \frac{9}{5} = \frac{35 \times 9}{72 \times 5} = \frac{7}{8}$
(Alternative valid division: $\frac{35}{72} \div \frac{7}{8} = \frac{5}{9}$)

Answer:

(a) $\boldsymbol{\frac{5}{9}} \times \boldsymbol{\frac{7}{8}} = \boldsymbol{\frac{35}{72}}$
(b) $\boldsymbol{\frac{35}{72}} \div \boldsymbol{\frac{5}{9}} = \boldsymbol{\frac{7}{8}}$
(Alternative for (b): $\boldsymbol{\frac{35}{72}} \div \boldsymbol{\frac{7}{8}} = \boldsymbol{\frac{5}{9}}$ is also correct)