Solve 71/2*2/3div53/4

$$7 \frac { 1 } { 2 } \times \frac { 2 } { 3 } \div 5 \frac { 3 } { 4 }$$

Evaluate

$$\frac{20}{23}\approx 0.869565217$$

Solution Steps

Multiply 7 and 2 to get 14.

$$\frac{\frac{14+1}{2}\times \frac{2}{3}}{\frac{5\times 4+3}{4}}$$

Add 14 and 1 to get 15.

$$\frac{\frac{15}{2}\times \frac{2}{3}}{\frac{5\times 4+3}{4}}$$

Multiply \frac{15}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{15\times 2}{2\times 3}}{\frac{5\times 4+3}{4}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{\frac{15}{3}}{\frac{5\times 4+3}{4}}$$

Divide 15 by 3 to get 5.

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

Multiply 5 and 4 to get 20.

$$\frac{5}{\frac{20+3}{4}}$$

Add 20 and 3 to get 23.

$$\frac{5}{\frac{23}{4}}$$

Divide 5 by \frac{23}{4} by multiplying 5 by the reciprocal of \frac{23}{4}.

$$5\times \frac{4}{23}$$

Express 5\times \frac{4}{23} as a single fraction.

$$\frac{5\times 4}{23}$$

Multiply 5 and 4 to get 20.

$$\frac{20}{23}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{23} = 0.8695652173913043$$