Solve 11/7*11/5div5/7div2/3

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

Evaluate

$$\frac{72}{25}=2.88$$

Solution Steps

Divide \frac{\frac{1\times 7+1}{7}\times \frac{1\times 5+1}{5}}{\frac{5}{7}} by \frac{2}{3} by multiplying \frac{\frac{1\times 7+1}{7}\times \frac{1\times 5+1}{5}}{\frac{5}{7}} by the reciprocal of \frac{2}{3}.

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

Multiply 1 and 7 to get 7.

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

Add 7 and 1 to get 8.

$$\frac{\frac{8}{7}\times \frac{1\times 5+1}{5}\times 3}{\frac{5}{7}\times 2}$$

Multiply 1 and 5 to get 5.

$$\frac{\frac{8}{7}\times \frac{5+1}{5}\times 3}{\frac{5}{7}\times 2}$$

Add 5 and 1 to get 6.

$$\frac{\frac{8}{7}\times \frac{6}{5}\times 3}{\frac{5}{7}\times 2}$$

Multiply \frac{8}{7} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{8\times 6}{7\times 5}\times 3}{\frac{5}{7}\times 2}$$

Do the multiplications in the fraction \frac{8\times 6}{7\times 5}.

$$\frac{\frac{48}{35}\times 3}{\frac{5}{7}\times 2}$$

Express \frac{48}{35}\times 3 as a single fraction.

$$\frac{\frac{48\times 3}{35}}{\frac{5}{7}\times 2}$$

Multiply 48 and 3 to get 144.

$$\frac{\frac{144}{35}}{\frac{5}{7}\times 2}$$

Express \frac{5}{7}\times 2 as a single fraction.

$$\frac{\frac{144}{35}}{\frac{5\times 2}{7}}$$

Multiply 5 and 2 to get 10.

$$\frac{\frac{144}{35}}{\frac{10}{7}}$$

Divide \frac{144}{35} by \frac{10}{7} by multiplying \frac{144}{35} by the reciprocal of \frac{10}{7}.

$$\frac{144}{35}\times \frac{7}{10}$$

Multiply \frac{144}{35} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{144\times 7}{35\times 10}$$

Do the multiplications in the fraction \frac{144\times 7}{35\times 10}.

$$\frac{1008}{350}$$

Reduce the fraction \frac{1008}{350} to lowest terms by extracting and canceling out 14.

$$\frac{72}{25}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2}}{5 ^ {2}} = 2\frac{22}{25} = 2.88$$