Question

30/7 = 1 ? . ?/7

Explanation:

Step1: Recall mixed number to improper fraction conversion

To convert a mixed number \( a\frac{b}{c} \) to an improper fraction, we use the formula \( \frac{a\times c + b}{c} \). Here, we know the improper fraction is \( \frac{30}{7} \), and we want to express it as a mixed number \( 4\frac{?}{7} \) (since \( 4\times7 = 28 \), and \( 30-28 = 2 \), let's verify step by step).

First, find how many times 7 goes into 30. We do the division \( 30\div7 \).
\( 7\times4 = 28 \), and \( 30 - 28 = 2 \). So the mixed number is \( 4\frac{2}{7} \), which means the whole number part is 4 and the numerator of the fractional part is 2.

Step2: Verify the conversion

The mixed number \( 4\frac{2}{7} \) can be converted back to an improper fraction by \( \frac{4\times7 + 2}{7}=\frac{28 + 2}{7}=\frac{30}{7} \), which matches the given improper fraction.

Answer:

The whole number is \( 4 \) and the numerator of the fraction is \( 2 \), so the mixed number is \( 4\frac{2}{7} \), meaning the first box (whole number) is \( 4 \) and the second box (numerator) is \( 2 \).