Solve -45/-15+144/64-9/6:3/4=

$$\frac { - 45 } { - 15 } + \frac { 144 } { 64 } - \frac { 9 } { 6 } : \frac { 3 } { 4 } =$$

Evaluate

$$\frac{13}{4}=3.25$$

Solution Steps

Divide -45 by -15 to get 3.

$$3+\frac{144}{64}-\frac{\frac{9}{6}}{\frac{3}{4}}$$

Reduce the fraction \frac{144}{64} to lowest terms by extracting and canceling out 16.

$$3+\frac{9}{4}-\frac{\frac{9}{6}}{\frac{3}{4}}$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{12}{4}+\frac{9}{4}-\frac{\frac{9}{6}}{\frac{3}{4}}$$

Since \frac{12}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.

$$\frac{12+9}{4}-\frac{\frac{9}{6}}{\frac{3}{4}}$$

Add 12 and 9 to get 21.

$$\frac{21}{4}-\frac{\frac{9}{6}}{\frac{3}{4}}$$

Divide \frac{9}{6} by \frac{3}{4} by multiplying \frac{9}{6} by the reciprocal of \frac{3}{4}.

$$\frac{21}{4}-\frac{9\times 4}{6\times 3}$$

Cancel out 2\times 3\times 3 in both numerator and denominator.

$$\frac{21}{4}-2$$

Convert 2 to fraction \frac{8}{4}.

$$\frac{21}{4}-\frac{8}{4}$$

Since \frac{21}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-8}{4}$$

Subtract 8 from 21 to get 13.

$$\frac{13}{4}$$

Factor

$$\frac{13}{2 ^ {2}} = 3\frac{1}{4} = 3.25$$