Convert 3, start fraction, 6, divided by, 7, end fraction3

Question

7
6
​
into an improper fraction.

Answer 1

To convert the mixed number \(3 \frac{6}{7}\) into an improper fraction, follow these steps:

1. Multiply the whole number by the denominator of the fraction: \[ 3 \times 7 = 21 \]

2. Add the result to the numerator: \[ 21 + 6 = 27 \]

3. Place this sum over the original denominator: \[ \frac{27}{7} \]

Thus, the mixed number \(3 \frac{6}{7}\) converts to the improper fraction \(\frac{27}{7}\).