Solve 61/5div62/4

$$6 \frac { 1 } { 5 } \div 6 \frac { 2 } { 4 }$$

Evaluate

$$\frac{62}{65}\approx 0.953846154$$

Solution Steps

Divide \frac{6\times 5+1}{5} by \frac{6\times 4+2}{4} by multiplying \frac{6\times 5+1}{5} by the reciprocal of \frac{6\times 4+2}{4}.

$$\frac{\left(6\times 5+1\right)\times 4}{5\left(6\times 4+2\right)}$$

Multiply 6 and 5 to get 30.

$$\frac{\left(30+1\right)\times 4}{5\left(6\times 4+2\right)}$$

Add 30 and 1 to get 31.

$$\frac{31\times 4}{5\left(6\times 4+2\right)}$$

Multiply 31 and 4 to get 124.

$$\frac{124}{5\left(6\times 4+2\right)}$$

Multiply 6 and 4 to get 24.

$$\frac{124}{5\left(24+2\right)}$$

Add 24 and 2 to get 26.

$$\frac{124}{5\times 26}$$

Multiply 5 and 26 to get 130.

$$\frac{124}{130}$$

Reduce the fraction \frac{124}{130} to lowest terms by extracting and canceling out 2.

$$\frac{62}{65}$$

Factor

$$\frac{2 \cdot 31}{5 \cdot 13} = 0.9538461538461539$$