Solve (63/8)div(42/25)

$$( 6 \frac { 3 } { 8 } ) \div ( 4 \frac { 2 } { 25 } )$$

Evaluate

$$\frac{25}{16}=1.5625$$

Solution Steps

Divide \frac{6\times 8+3}{8} by \frac{4\times 25+2}{25} by multiplying \frac{6\times 8+3}{8} by the reciprocal of \frac{4\times 25+2}{25}.

$$\frac{\left(6\times 8+3\right)\times 25}{8\left(4\times 25+2\right)}$$

Multiply 6 and 8 to get 48.

$$\frac{\left(48+3\right)\times 25}{8\left(4\times 25+2\right)}$$

Add 48 and 3 to get 51.

$$\frac{51\times 25}{8\left(4\times 25+2\right)}$$

Multiply 51 and 25 to get 1275.

$$\frac{1275}{8\left(4\times 25+2\right)}$$

Multiply 4 and 25 to get 100.

$$\frac{1275}{8\left(100+2\right)}$$

Add 100 and 2 to get 102.

$$\frac{1275}{8\times 102}$$

Multiply 8 and 102 to get 816.

$$\frac{1275}{816}$$

Reduce the fraction \frac{1275}{816} to lowest terms by extracting and canceling out 51.

$$\frac{25}{16}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {4}} = 1\frac{9}{16} = 1.5625$$