Question

rewrite the answer as equivalent mixed numbers. enter your answers.
$6\frac{15}{12} = 6 \frac{?}{4} = ?\frac{?}{4}$

Explanation:

Step1: Simplify the fraction $\frac{15}{12}$ to denominator 4.

To get a denominator of 4, divide numerator and denominator of $\frac{15}{12}$ by 3 (since $12\div3 = 4$). So $\frac{15\div3}{12\div3}=\frac{5}{4}$. So the first blank is 5.

Step2: Convert the mixed number $6\frac{5}{4}$ to an improper fraction and then to a mixed number.

First, $6\frac{5}{4}=\frac{6\times4 + 5}{4}=\frac{24 + 5}{4}=\frac{29}{4}$. Now, divide 29 by 4: $4\times7 = 28$, so $29\div4 = 7$ with a remainder of 1. So $\frac{29}{4}=7\frac{1}{4}$. So the whole number is 7 and the numerator is 1.

Answer:

First blank: 5; Second whole number: 7; Third numerator: 1 (So filling the blanks: $6\frac{15}{12}=6\frac{5}{4}=7\frac{1}{4}$)