Solve 31/3div25/4=

$$3 \frac { 1 } { 3 } \div \frac { 25 } { 4 } =$$

Evaluate

$$\frac{8}{15}\approx 0.533333333$$

Solution Steps

Divide \frac{3\times 3+1}{3} by \frac{25}{4} by multiplying \frac{3\times 3+1}{3} by the reciprocal of \frac{25}{4}.

$$\frac{\left(3\times 3+1\right)\times 4}{3\times 25}$$

Multiply 3 and 3 to get 9.

$$\frac{\left(9+1\right)\times 4}{3\times 25}$$

Add 9 and 1 to get 10.

$$\frac{10\times 4}{3\times 25}$$

Multiply 10 and 4 to get 40.

$$\frac{40}{3\times 25}$$

Multiply 3 and 25 to get 75.

$$\frac{40}{75}$$

Reduce the fraction \frac{40}{75} to lowest terms by extracting and canceling out 5.

$$\frac{8}{15}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5} = 0.5333333333333333$$