Solve 9/10*5/6div1/2=

$$\frac { 9 } { 10 } \times \frac { 5 } { 6 } \div \frac { 1 } { 2 } =$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Multiply \frac{9}{10} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{9\times 5}{10\times 6}}{\frac{1}{2}}$$

Do the multiplications in the fraction \frac{9\times 5}{10\times 6}.

$$\frac{\frac{45}{60}}{\frac{1}{2}}$$

Reduce the fraction \frac{45}{60} to lowest terms by extracting and canceling out 15.

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

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

$$\frac{3}{4}\times 2$$

Express \frac{3}{4}\times 2 as a single fraction.

$$\frac{3\times 2}{4}$$

Multiply 3 and 2 to get 6.

$$\frac{6}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$