Solve (5-29/13)div6/7+22/13

$$( 5 - 2 \frac { 9 } { 13 } ) \div \frac { 6 } { 7 } + 2 \frac { 2 } { 13 }$$

Evaluate

$$\frac{63}{13}\approx 4.846153846$$

Solution Steps

Multiply 2 and 13 to get 26.

$$\frac{5-\frac{26+9}{13}}{\frac{6}{7}}+\frac{2\times 13+2}{13}$$

Add 26 and 9 to get 35.

$$\frac{5-\frac{35}{13}}{\frac{6}{7}}+\frac{2\times 13+2}{13}$$

Convert 5 to fraction \frac{65}{13}.

$$\frac{\frac{65}{13}-\frac{35}{13}}{\frac{6}{7}}+\frac{2\times 13+2}{13}$$

Since \frac{65}{13} and \frac{35}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{65-35}{13}}{\frac{6}{7}}+\frac{2\times 13+2}{13}$$

Subtract 35 from 65 to get 30.

$$\frac{\frac{30}{13}}{\frac{6}{7}}+\frac{2\times 13+2}{13}$$

Divide \frac{30}{13} by \frac{6}{7} by multiplying \frac{30}{13} by the reciprocal of \frac{6}{7}.

$$\frac{30}{13}\times \frac{7}{6}+\frac{2\times 13+2}{13}$$

Multiply \frac{30}{13} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{30\times 7}{13\times 6}+\frac{2\times 13+2}{13}$$

Do the multiplications in the fraction \frac{30\times 7}{13\times 6}.

$$\frac{210}{78}+\frac{2\times 13+2}{13}$$

Reduce the fraction \frac{210}{78} to lowest terms by extracting and canceling out 6.

$$\frac{35}{13}+\frac{2\times 13+2}{13}$$

Multiply 2 and 13 to get 26.

$$\frac{35}{13}+\frac{26+2}{13}$$

Add 26 and 2 to get 28.

$$\frac{35}{13}+\frac{28}{13}$$

Since \frac{35}{13} and \frac{28}{13} have the same denominator, add them by adding their numerators.

$$\frac{35+28}{13}$$

Add 35 and 28 to get 63.

$$\frac{63}{13}$$

Factor

$$\frac{3 ^ {2} \cdot 7}{13} = 4\frac{11}{13} = 4.846153846153846$$