Solve 14/5*3/4:11/2

$$1 \frac { 4 } { 5 } \times \frac { 3 } { 4 } : 1 \frac { 1 } { 2 }$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{\frac{5+4}{5}\times \frac{3}{4}}{\frac{1\times 2+1}{2}}$$

Add 5 and 4 to get 9.

$$\frac{\frac{9}{5}\times \frac{3}{4}}{\frac{1\times 2+1}{2}}$$

Multiply \frac{9}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{9\times 3}{5\times 4}}{\frac{1\times 2+1}{2}}$$

Do the multiplications in the fraction \frac{9\times 3}{5\times 4}.

$$\frac{\frac{27}{20}}{\frac{1\times 2+1}{2}}$$

Multiply 1 and 2 to get 2.

$$\frac{\frac{27}{20}}{\frac{2+1}{2}}$$

Add 2 and 1 to get 3.

$$\frac{\frac{27}{20}}{\frac{3}{2}}$$

Divide \frac{27}{20} by \frac{3}{2} by multiplying \frac{27}{20} by the reciprocal of \frac{3}{2}.

$$\frac{27}{20}\times \frac{2}{3}$$

Multiply \frac{27}{20} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 2}{20\times 3}$$

Do the multiplications in the fraction \frac{27\times 2}{20\times 3}.

$$\frac{54}{60}$$

Reduce the fraction \frac{54}{60} to lowest terms by extracting and canceling out 6.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$