Solve 25/8div33/4

$$2 \frac { 5 } { 8 } \div 3 \frac { 3 } { 4 }$$

Evaluate

$$\frac{7}{10}=0.7$$

Solution Steps

Divide \frac{2\times 8+5}{8} by \frac{3\times 4+3}{4} by multiplying \frac{2\times 8+5}{8} by the reciprocal of \frac{3\times 4+3}{4}.

$$\frac{\left(2\times 8+5\right)\times 4}{8\left(3\times 4+3\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{5+2\times 8}{2\left(3+3\times 4\right)}$$

Multiply 2 and 8 to get 16.

$$\frac{5+16}{2\left(3+3\times 4\right)}$$

Add 5 and 16 to get 21.

$$\frac{21}{2\left(3+3\times 4\right)}$$

Multiply 3 and 4 to get 12.

$$\frac{21}{2\left(3+12\right)}$$

Add 3 and 12 to get 15.

$$\frac{21}{2\times 15}$$

Multiply 2 and 15 to get 30.

$$\frac{21}{30}$$

Reduce the fraction \frac{21}{30} to lowest terms by extracting and canceling out 3.

$$\frac{7}{10}$$

Factor

$$\frac{7}{2 \cdot 5} = 0.7$$