Find the value of the expression 3 1/2 ÷ w for w&nbsp=&nbsp2. Write your answer as a fraction or as a whole or mixed number. _____

Convert to Improper Fraction: First, let's convert the mixed number to an improper fraction. 3 1/2 is the same as (3 * 2 + 1)/2 = 7/2. Substitute and Simplify: Now, substitute w with 2 in the expression 3 1/2 ÷ w. So, it becomes 7/2 ÷ 2. Divide by 2: To divide by 2, you multiply by the reciprocal of 2, which is 1/2. So, 7/2 ÷ 2 = 7/2 * 1/2. Multiply Fractions: Multiply the fractions: (7 * 1)/(2 * 2) = 7/4.

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Find the value of the expression $\newline$ $3\frac{1}{2} \div w$ $\newline$ for $w = 2$ . $\newline$ 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{1}{2} \div w

\newline

for

w = 2

\newline

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

\newline

_____

Convert to Improper Fraction: First, let's convert the mixed number to an improper fraction. $3 \frac{1}{2}$ is the same as $(3 \times 2 + 1)/2 = \frac{7}{2}$ .
Substitute and Simplify: Now, substitute $w$ with $2$ in the expression $\frac{7}{2} \div w$ . So, it becomes $\frac{7}{2} \div 2$ .
Divide by $2$ : To divide by $2$ , you multiply by the reciprocal of $2$ , which is $\frac{1}{2}$ . So, $\frac{7}{2} \div 2 = \frac{7}{2} \times \frac{1}{2}$ .
Multiply Fractions: Multiply the fractions: $(7 \times 1)/(2 \times 2) = 7/4$ .