Solve (31/5div31/3)

$$( 3 \frac { 1 } { 5 } \div 3 \frac { 1 } { 3 } )$$

Evaluate

$$\frac{24}{25}=0.96$$

Solution Steps

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

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

Multiply 3 and 5 to get 15.

$$\frac{\left(15+1\right)\times 3}{5\left(3\times 3+1\right)}$$

Add 15 and 1 to get 16.

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

Multiply 16 and 3 to get 48.

$$\frac{48}{5\left(3\times 3+1\right)}$$

Multiply 3 and 3 to get 9.

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

Add 9 and 1 to get 10.

$$\frac{48}{5\times 10}$$

Multiply 5 and 10 to get 50.

$$\frac{48}{50}$$

Reduce the fraction \frac{48}{50} to lowest terms by extracting and canceling out 2.

$$\frac{24}{25}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{5 ^ {2}} = 0.96$$