Solve 93/4div3/10

$$9 \frac { 3 } { 4 } \div \frac { 3 } { 10 }$$

Evaluate

$$\frac{65}{2}=32.5$$

Solution Steps

Divide \frac{9\times 4+3}{4} by \frac{3}{10} by multiplying \frac{9\times 4+3}{4} by the reciprocal of \frac{3}{10}.

$$\frac{\left(9\times 4+3\right)\times 10}{4\times 3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{5\left(3+4\times 9\right)}{2\times 3}$$

Multiply 4 and 9 to get 36.

$$\frac{5\left(3+36\right)}{2\times 3}$$

Add 3 and 36 to get 39.

$$\frac{5\times 39}{2\times 3}$$

Multiply 5 and 39 to get 195.

$$\frac{195}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{195}{6}$$

Reduce the fraction \frac{195}{6} to lowest terms by extracting and canceling out 3.

$$\frac{65}{2}$$

Factor

$$\frac{5 \cdot 13}{2} = 32\frac{1}{2} = 32.5$$