Solve 63/5:71/3

$$6 \frac { 3 } { 5 } : 7 \frac { 1 } { 3 }$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Divide \frac{6\times 5+3}{5} by \frac{7\times 3+1}{3} by multiplying \frac{6\times 5+3}{5} by the reciprocal of \frac{7\times 3+1}{3}.

$$\frac{\left(6\times 5+3\right)\times 3}{5\left(7\times 3+1\right)}$$

Multiply 6 and 5 to get 30.

$$\frac{\left(30+3\right)\times 3}{5\left(7\times 3+1\right)}$$

Add 30 and 3 to get 33.

$$\frac{33\times 3}{5\left(7\times 3+1\right)}$$

Multiply 33 and 3 to get 99.

$$\frac{99}{5\left(7\times 3+1\right)}$$

Multiply 7 and 3 to get 21.

$$\frac{99}{5\left(21+1\right)}$$

Add 21 and 1 to get 22.

$$\frac{99}{5\times 22}$$

Multiply 5 and 22 to get 110.

$$\frac{99}{110}$$

Reduce the fraction \frac{99}{110} to lowest terms by extracting and canceling out 11.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$