Solve 53/9div51/16=

$$5 \frac { 3 } { 9 } \div 5 \frac { 1 } { 16 } =$$

Evaluate

$$\frac{256}{243}\approx 1.053497942$$

Solution Steps

Divide \frac{5\times 9+3}{9} by \frac{5\times 16+1}{16} by multiplying \frac{5\times 9+3}{9} by the reciprocal of \frac{5\times 16+1}{16}.

$$\frac{\left(5\times 9+3\right)\times 16}{9\left(5\times 16+1\right)}$$

Multiply 5 and 9 to get 45.

$$\frac{\left(45+3\right)\times 16}{9\left(5\times 16+1\right)}$$

Add 45 and 3 to get 48.

$$\frac{48\times 16}{9\left(5\times 16+1\right)}$$

Multiply 48 and 16 to get 768.

$$\frac{768}{9\left(5\times 16+1\right)}$$

Multiply 5 and 16 to get 80.

$$\frac{768}{9\left(80+1\right)}$$

Add 80 and 1 to get 81.

$$\frac{768}{9\times 81}$$

Multiply 9 and 81 to get 729.

$$\frac{768}{729}$$

Reduce the fraction \frac{768}{729} to lowest terms by extracting and canceling out 3.

$$\frac{256}{243}$$

Factor

$$\frac{2 ^ {8}}{3 ^ {5}} = 1\frac{13}{243} = 1.0534979423868314$$