Solve 41/2/frac{3{10}}

$$\frac { 4 \frac { 1 } { 2 } } { \frac { 3 } { 10 } }$$

Evaluate

$$15$$

Solution Steps

Divide \frac{4\times 2+1}{2} by \frac{3}{10} by multiplying \frac{4\times 2+1}{2} by the reciprocal of \frac{3}{10}.

$$\frac{\left(4\times 2+1\right)\times 10}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{5\left(1+2\times 4\right)}{3}$$

Multiply 2 and 4 to get 8.

$$\frac{5\left(1+8\right)}{3}$$

Add 1 and 8 to get 9.

$$\frac{5\times 9}{3}$$

Multiply 5 and 9 to get 45.

$$\frac{45}{3}$$

Divide 45 by 3 to get 15.

$$15$$

Factor

$$3\times 5$$