Solve 315/16div13/4

$$3 \frac { 15 } { 16 } \div 1 \frac { 3 } { 4 }$$

Evaluate

$$\frac{9}{4}=2.25$$

Solution Steps

Divide \frac{3\times 16+15}{16} by \frac{1\times 4+3}{4} by multiplying \frac{3\times 16+15}{16} by the reciprocal of \frac{1\times 4+3}{4}.

$$\frac{\left(3\times 16+15\right)\times 4}{16\left(1\times 4+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{15+3\times 16}{4\left(3+4\right)}$$

Multiply 3 and 16 to get 48.

$$\frac{15+48}{4\left(3+4\right)}$$

Add 15 and 48 to get 63.

$$\frac{63}{4\left(3+4\right)}$$

Add 3 and 4 to get 7.

$$\frac{63}{4\times 7}$$

Multiply 4 and 7 to get 28.

$$\frac{63}{28}$$

Reduce the fraction \frac{63}{28} to lowest terms by extracting and canceling out 7.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$