Question

evaluate the expression for the given
$4q \div \frac{3}{7}; \\, q = \frac{3}{4}$
(type a whole number, fraction, or m

Explanation:

Step1: Substitute q value

Substitute \( q = \frac{3}{4} \) into \( 4q \div \frac{3}{7} \), get \( 4\times\frac{3}{4} \div \frac{3}{7} \).

Step2: Simplify 4×(3/4)

\( 4\times\frac{3}{4} = 3 \), so expression becomes \( 3 \div \frac{3}{7} \).

Step3: Divide by fraction (multiply reciprocal)

Dividing by \( \frac{3}{7} \) is multiplying by \( \frac{7}{3} \), so \( 3\times\frac{7}{3} = 7 \).

Answer:

7