Solve 36/48=36div12/48div12=3/4

$$\frac { 36 } { 48 } = \frac { 36 \div 12 } { 48 \div 12 } = \frac { 3 } { 4 }$$

Verify

Solution Steps

Reduce the fraction \frac{36}{48} to lowest terms by extracting and canceling out 12.

$$\frac{3}{4}=\frac{\frac{36}{12}}{\frac{48}{12}}\text{ and }\frac{\frac{36}{12}}{\frac{48}{12}}=\frac{3}{4}$$

Divide \frac{36}{12} by \frac{48}{12} by multiplying \frac{36}{12} by the reciprocal of \frac{48}{12}.

$$\frac{3}{4}=\frac{36\times 12}{12\times 48}\text{ and }\frac{\frac{36}{12}}{\frac{48}{12}}=\frac{3}{4}$$

Cancel out 3\times 4\times 12 in both numerator and denominator.

$$\frac{3}{4}=\frac{3}{4}\text{ and }\frac{\frac{36}{12}}{\frac{48}{12}}=\frac{3}{4}$$

Compare \frac{3}{4} and \frac{3}{4}.

$$\text{true}\text{ and }\frac{\frac{36}{12}}{\frac{48}{12}}=\frac{3}{4}$$

Divide \frac{36}{12} by \frac{48}{12} by multiplying \frac{36}{12} by the reciprocal of \frac{48}{12}.

$$\text{true}\text{ and }\frac{36\times 12}{12\times 48}=\frac{3}{4}$$

Cancel out 3\times 4\times 12 in both numerator and denominator.

$$\text{true}\text{ and }\frac{3}{4}=\frac{3}{4}$$

Compare \frac{3}{4} and \frac{3}{4}.

$$\text{true}\text{ and }\text{true}$$

The conjunction of \text{true} and \text{true} is \text{true}.

$$\text{true}$$