Solve 14/5div13/4=

$$\frac { 14 } { 5 } \div 1 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{8}{5}=1.6$$

Solution Steps

Divide \frac{14}{5} by \frac{1\times 4+3}{4} by multiplying \frac{14}{5} by the reciprocal of \frac{1\times 4+3}{4}.

$$\frac{14\times 4}{5\left(1\times 4+3\right)}$$

Multiply 14 and 4 to get 56.

$$\frac{56}{5\left(1\times 4+3\right)}$$

Multiply 1 and 4 to get 4.

$$\frac{56}{5\left(4+3\right)}$$

Add 4 and 3 to get 7.

$$\frac{56}{5\times 7}$$

Multiply 5 and 7 to get 35.

$$\frac{56}{35}$$

Reduce the fraction \frac{56}{35} to lowest terms by extracting and canceling out 7.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$