Question

1. which decimal is equivalent to 7\frac{2}{3}?

7.\overline{6}
7.6
7.\overline{23}
7.23

Explanation:

Step1: Convert the fraction part to decimal

First, convert $\frac{2}{3}$ to decimal. We know that $2\div3 = 0.666\cdots= 0.\overline{6}$.

Step2: Combine with the whole - number part

Since the mixed number is $7\frac{2}{3}$, we add the whole - number 7 to the decimal value of the fraction part. So $7 + 0.\overline{6}=7.\overline{6}$.

Answer:

$7.\overline{6}$