Math / Numbers & Operations

Question experstimn. $\frac{4}{8} \frac{1}{16}$
2. $8 x+\frac{4}{3}$
8. $\frac{3}{4}+\frac{1}{4}$ $58^{2} \frac{8}{2}$ (a) $\frac{2}{3}+\frac{16}{4}$

Studdy Solution

STEP 1

1. The problem involves the division of fractions: $\frac{5}{8} \div \frac{1}{16}$ .
2. Division of fractions can be converted to multiplication by multiplying by the reciprocal of the divisor.
3. The goal is to write a multiplication expression equivalent to the given division expression and evaluate it.
4. The multiple-choice question is asking which of the given options is equivalent to the correct multiplication expression.

STEP 2

1. Convert the division expression $\frac{5}{8} \div \frac{1}{16}$ into a multiplication expression.
2. Identify the correct multiplication expression from the multiple-choice options.
3. Evaluate the multiplication expression to find the result.

STEP 3

Convert the division expression $\frac{5}{8} \div \frac{1}{16}$ into a multiplication expression by multiplying $\frac{5}{8}$ by the reciprocal of $\frac{1}{16}$ .
$\frac{5}{8} \div \frac{1}{16} = \frac{5}{8} \times \frac{16}{1}$

STEP 4

Identify the correct multiplication expression from the multiple-choice options. The expression $\frac{5}{8} \times \frac{16}{1}$ corresponds to:
B. $\frac{5}{8} \times \frac{16}{1}$

STEP 5

Evaluate the multiplication expression $\frac{5}{8} \times \frac{16}{1}$ .
$\frac{5}{8} \times \frac{16}{1} = \frac{5 \times 16}{8 \times 1} = \frac{80}{8} = 10$
Solution: The multiplication expression equivalent to $\frac{5}{8} \div \frac{1}{16}$ is $\frac{5}{8} \times \frac{16}{1}$ . The evaluated result is $10$ .
Answer to the multiple-choice question: B. $\frac{5}{8} \times \frac{16}{1}$

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