Solve 5:(3/10:9/2)

$$5 : ( \frac { 3 } { 10 } : \frac { 9 } { 2 } )$$

Evaluate

$$75$$

Solution Steps

Divide 5 by \frac{\frac{3}{10}}{\frac{9}{2}} by multiplying 5 by the reciprocal of \frac{\frac{3}{10}}{\frac{9}{2}}.

$$\frac{5\times \frac{9}{2}}{\frac{3}{10}}$$

Express 5\times \frac{9}{2} as a single fraction.

$$\frac{\frac{5\times 9}{2}}{\frac{3}{10}}$$

Multiply 5 and 9 to get 45.

$$\frac{\frac{45}{2}}{\frac{3}{10}}$$

Divide \frac{45}{2} by \frac{3}{10} by multiplying \frac{45}{2} by the reciprocal of \frac{3}{10}.

$$\frac{45}{2}\times \frac{10}{3}$$

Multiply \frac{45}{2} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 10}{2\times 3}$$

Do the multiplications in the fraction \frac{45\times 10}{2\times 3}.

$$\frac{450}{6}$$

Divide 450 by 6 to get 75.

$$75$$

Factor

$$3\times 5^{2}$$