Find the value of the expression z ÷ 3/4 for z&nbsp=&nbsp3. Write your answer as a fraction or as a whole or mixed number. _____

Substitute value of z: Step 1: Substitute the value of z in the expression. z ÷ 3/4 where z = 3. So, the expression becomes 3 ÷ 3/4.Convert division to multiplication: Step 2: Convert the division into multiplication by the reciprocal of 3/4. 3 ÷ 3/4 = 3 × 4/3.Multiply numerators and denominators: Step 3: Multiply the numerators and the denominators. 3 × 4 = 12 and 1 × 3 = 3. So, 3 × 4/3 = 12/3.Simplify the fraction: Step 4: Simplify the fraction 12/3. 12 ÷ 3 = 4.

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Find the value of the expression $\newline$ $z \div \frac{3}{4}$ $\newline$ for $z = 3$ . $\newline$ 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

z \div \frac{3}{4}

\newline

for

z = 3

\newline

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

\newline

_____

Substitute value of z: Step $1$ : Substitute the value of $z$ in the expression. $\newline$ $z \div \frac{3}{4}$ where $z = 3$ . $\newline$ So, the expression becomes $3 \div \frac{3}{4}.$
Convert division to multiplication: Step $2$ : Convert the division into multiplication by the reciprocal of $\frac{3}{4}$ . $\newline$ $3 \div \frac{3}{4} = 3 \times \frac{4}{3}.$
Multiply numerators and denominators: Step $3$ : Multiply the numerators and the denominators. $\newline$ $3 \times 4 = 12$ and $1 \times 3 = 3$ . $\newline$ So, $\frac{3 \times 4}{3} = \frac{12}{3}$ .
Simplify the fraction: Step $4$ : Simplify the fraction $\frac{12}{3}$ . $12 \div 3 = 4$ .