Find the value of the expression 3 5/8 ÷ k for k&nbsp=&nbsp1/2. Write your answer as a fraction or as a whole or mixed number. _____

Convert to Improper Fraction: Convert the mixed number 3 5/8 to an improper fraction. 3 5/8 = (3 × 8 + 5)/8 = 29/8. Substitute with k: Substitute k with 1/2 in the expression 3 5/8 ÷ k. 29/8 ÷ 1/2. Perform Division: Perform the division by multiplying by the reciprocal of 1/2. 29/8 × 2/1 = 29/8 × 2 = 58/8. Simplify Fraction: Simplify the fraction 58/8. 58/8 = 7 1/4.

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Find the value of the expression $\newline$ $3\frac{5}{8} \div k$ $\newline$ for $k = \frac{1}{2}$ . $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____

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Math Problems

Grade 6

Evaluate variable expressions with decimals, fractions, and mixed numbers

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Q. Find the value of the expression

\newline

3\frac{5}{8} \div k

\newline

for

k = \frac{1}{2}

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

_____

Convert to Improper Fraction: Convert the mixed number $3 \frac{5}{8}$ to an improper fraction. $\newline$ $3 \frac{5}{8} = (3 \times 8 + 5)/8 = \frac{29}{8}.$
Substitute with $k$ : Substitute $k$ with $\frac{1}{2}$ in the expression $3\frac{5}{8} \div k$ . $\newline$ $\frac{29}{8} \div \frac{1}{2}$ .
Perform Division: Perform the division by multiplying by the reciprocal of $\frac{1}{2}$ . $\newline$ $\frac{29}{8} \times \frac{2}{1} = \frac{29}{8} \times 2 = \frac{58}{8}$ .
Simplify Fraction: Simplify the fraction $\frac{58}{8}$ . $\newline$ $\frac{58}{8} = 7 \frac{1}{4}.$