Solve 411/3*3/4+511/4*4/5

$$41 \frac { 1 } { 3 } \times \frac { 3 } { 4 } + 51 \frac { 1 } { 4 } \times \frac { 4 } { 5 }$$

Evaluate

$$72$$

Solution Steps

Multiply 41 and 3 to get 123.

$$\frac{123+1}{3}\times \frac{3}{4}+\frac{51\times 4+1}{4}\times \frac{4}{5}$$

Add 123 and 1 to get 124.

$$\frac{124}{3}\times \frac{3}{4}+\frac{51\times 4+1}{4}\times \frac{4}{5}$$

Multiply \frac{124}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{124\times 3}{3\times 4}+\frac{51\times 4+1}{4}\times \frac{4}{5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{124}{4}+\frac{51\times 4+1}{4}\times \frac{4}{5}$$

Divide 124 by 4 to get 31.

$$31+\frac{51\times 4+1}{4}\times \frac{4}{5}$$

Multiply 51 and 4 to get 204.

$$31+\frac{204+1}{4}\times \frac{4}{5}$$

Add 204 and 1 to get 205.

$$31+\frac{205}{4}\times \frac{4}{5}$$

Multiply \frac{205}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$31+\frac{205\times 4}{4\times 5}$$

Cancel out 4 in both numerator and denominator.

$$31+\frac{205}{5}$$

Divide 205 by 5 to get 41.

$$31+41$$

Add 31 and 41 to get 72.

$$72$$

Factor

$$2^{3}\times 3^{2}$$