Solve (2/3)*(7/2)/(5frac{1{2})*(3/4)}=

$$\frac { ( \frac { 2 } { 3 } ) \cdot ( \frac { 7 } { 2 } ) } { ( 5 \frac { 1 } { 2 } ) \cdot ( \frac { 3 } { 4 } ) } =$$

Evaluate

$$\frac{56}{99}\approx 0.565656566$$

Solution Steps

Multiply \frac{2}{3} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 2 in both numerator and denominator.

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

Multiply 5 and 2 to get 10.

$$\frac{\frac{7}{3}}{\frac{10+1}{2}\times \frac{3}{4}}$$

Add 10 and 1 to get 11.

$$\frac{\frac{7}{3}}{\frac{11}{2}\times \frac{3}{4}}$$

Multiply \frac{11}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7}{3}}{\frac{11\times 3}{2\times 4}}$$

Do the multiplications in the fraction \frac{11\times 3}{2\times 4}.

$$\frac{\frac{7}{3}}{\frac{33}{8}}$$

Divide \frac{7}{3} by \frac{33}{8} by multiplying \frac{7}{3} by the reciprocal of \frac{33}{8}.

$$\frac{7}{3}\times \frac{8}{33}$$

Multiply \frac{7}{3} times \frac{8}{33} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 8}{3\times 33}$$

Do the multiplications in the fraction \frac{7\times 8}{3\times 33}.

$$\frac{56}{99}$$

Factor

$$\frac{2 ^ {3} \cdot 7}{3 ^ {2} \cdot 11} = 0.5656565656565656$$