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QUESTION IMAGE

find the value of the expression $7 \\frac{1}{3} \\times y$ for $y = 1 …

Question

find the value of the expression
$7 \frac{1}{3} \times y$
for $y = 1 \frac{1}{8}$.
write your answer as a fraction or as a whole or n

Explanation:

Step1: Convert mixed numbers to improper fractions

$7\frac{1}{3} = \frac{7\times3 + 1}{3} = \frac{22}{3}$
$1\frac{1}{8} = \frac{1\times8 + 1}{8} = \frac{9}{8}$

Step2: Substitute and multiply fractions

$\frac{22}{3} \times \frac{9}{8} = \frac{22\times9}{3\times8}$

Step3: Simplify the expression

$\frac{22\times9}{3\times8} = \frac{22\times3}{8} = \frac{66}{8} = \frac{33}{4}$

Answer:

$\frac{33}{4}$ (or $8\frac{1}{4}$)