Solve 63/4+(42/4+51/4)

$$6 \frac { 3 } { 4 } + ( 4 \frac { 2 } { 4 } + 5 \frac { 1 } { 4 } )$$

Evaluate

$$\frac{33}{2}=16.5$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+3}{4}+\frac{4\times 4+2}{4}+\frac{5\times 4+1}{4}$$

Add 24 and 3 to get 27.

$$\frac{27}{4}+\frac{4\times 4+2}{4}+\frac{5\times 4+1}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{27}{4}+\frac{16+2}{4}+\frac{5\times 4+1}{4}$$

Add 16 and 2 to get 18.

$$\frac{27}{4}+\frac{18}{4}+\frac{5\times 4+1}{4}$$

Since \frac{27}{4} and \frac{18}{4} have the same denominator, add them by adding their numerators.

$$\frac{27+18}{4}+\frac{5\times 4+1}{4}$$

Add 27 and 18 to get 45.

$$\frac{45}{4}+\frac{5\times 4+1}{4}$$

Multiply 5 and 4 to get 20.

$$\frac{45}{4}+\frac{20+1}{4}$$

Add 20 and 1 to get 21.

$$\frac{45}{4}+\frac{21}{4}$$

Since \frac{45}{4} and \frac{21}{4} have the same denominator, add them by adding their numerators.

$$\frac{45+21}{4}$$

Add 45 and 21 to get 66.

$$\frac{66}{4}$$

Reduce the fraction \frac{66}{4} to lowest terms by extracting and canceling out 2.

$$\frac{33}{2}$$

Factor

$$\frac{3 \cdot 11}{2} = 16\frac{1}{2} = 16.5$$