Solve 7div14/3*1/4div21/5

$$7 \div \frac { 14 } { 3 } \times \frac { 1 } { 4 } \div 2 \frac { 1 } { 5 }$$

Evaluate

$$\frac{15}{88}\approx 0.170454545$$

Solution Steps

Divide 7 by \frac{14}{3} by multiplying 7 by the reciprocal of \frac{14}{3}.

$$\frac{7\times \frac{3}{14}\times \frac{1}{4}}{\frac{2\times 5+1}{5}}$$

Express 7\times \frac{3}{14} as a single fraction.

$$\frac{\frac{7\times 3}{14}\times \frac{1}{4}}{\frac{2\times 5+1}{5}}$$

Multiply 7 and 3 to get 21.

$$\frac{\frac{21}{14}\times \frac{1}{4}}{\frac{2\times 5+1}{5}}$$

Reduce the fraction \frac{21}{14} to lowest terms by extracting and canceling out 7.

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

Multiply \frac{3}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 1}{2\times 4}.

$$\frac{\frac{3}{8}}{\frac{2\times 5+1}{5}}$$

Multiply 2 and 5 to get 10.

$$\frac{\frac{3}{8}}{\frac{10+1}{5}}$$

Add 10 and 1 to get 11.

$$\frac{\frac{3}{8}}{\frac{11}{5}}$$

Divide \frac{3}{8} by \frac{11}{5} by multiplying \frac{3}{8} by the reciprocal of \frac{11}{5}.

$$\frac{3}{8}\times \frac{5}{11}$$

Multiply \frac{3}{8} times \frac{5}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{8\times 11}$$

Do the multiplications in the fraction \frac{3\times 5}{8\times 11}.

$$\frac{15}{88}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3} \cdot 11} = 0.17045454545454544$$