Solve 65/7*21/3div12/5

$$6 \frac { 5 } { 7 } \times 2 \frac { 1 } { 3 } \div 1 \frac { 2 } { 5 }$$

Evaluate

$$\frac{235}{21}\approx 11.19047619$$

Solution Steps

Multiply 6 and 7 to get 42.

$$\frac{\frac{42+5}{7}\times \frac{2\times 3+1}{3}}{\frac{1\times 5+2}{5}}$$

Add 42 and 5 to get 47.

$$\frac{\frac{47}{7}\times \frac{2\times 3+1}{3}}{\frac{1\times 5+2}{5}}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{47}{7}\times \frac{6+1}{3}}{\frac{1\times 5+2}{5}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{47}{7}\times \frac{7}{3}}{\frac{1\times 5+2}{5}}$$

Multiply \frac{47}{7} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{47\times 7}{7\times 3}}{\frac{1\times 5+2}{5}}$$

Cancel out 7 in both numerator and denominator.

$$\frac{\frac{47}{3}}{\frac{1\times 5+2}{5}}$$

Multiply 1 and 5 to get 5.

$$\frac{\frac{47}{3}}{\frac{5+2}{5}}$$

Add 5 and 2 to get 7.

$$\frac{\frac{47}{3}}{\frac{7}{5}}$$

Divide \frac{47}{3} by \frac{7}{5} by multiplying \frac{47}{3} by the reciprocal of \frac{7}{5}.

$$\frac{47}{3}\times \frac{5}{7}$$

Multiply \frac{47}{3} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{47\times 5}{3\times 7}$$

Do the multiplications in the fraction \frac{47\times 5}{3\times 7}.

$$\frac{235}{21}$$

Factor

$$\frac{5 \cdot 47}{3 \cdot 7} = 11\frac{4}{21} = 11.19047619047619$$