Solve 110/7+13^2-756/49/2*frac{10{7}*13}

$$\frac { 1 \frac { 10 } { 7 } + 13 ^ { 2 } - \frac { 756 } { 49 } } { 2 \times \frac { 10 } { 7 } \times 13 }$$

Evaluate

$$\frac{21}{5}=4.2$$

Solution Steps

Multiply 1 and 7 to get 7.

$$\frac{\frac{7+10}{7}+13^{2}-\frac{756}{49}}{2\times \frac{10}{7}\times 13}$$

Add 7 and 10 to get 17.

$$\frac{\frac{17}{7}+13^{2}-\frac{756}{49}}{2\times \frac{10}{7}\times 13}$$

Calculate 13 to the power of 2 and get 169.

$$\frac{\frac{17}{7}+169-\frac{756}{49}}{2\times \frac{10}{7}\times 13}$$

Convert 169 to fraction \frac{1183}{7}.

$$\frac{\frac{17}{7}+\frac{1183}{7}-\frac{756}{49}}{2\times \frac{10}{7}\times 13}$$

Since \frac{17}{7} and \frac{1183}{7} have the same denominator, add them by adding their numerators.

$$\frac{\frac{17+1183}{7}-\frac{756}{49}}{2\times \frac{10}{7}\times 13}$$

Add 17 and 1183 to get 1200.

$$\frac{\frac{1200}{7}-\frac{756}{49}}{2\times \frac{10}{7}\times 13}$$

Reduce the fraction \frac{756}{49} to lowest terms by extracting and canceling out 7.

$$\frac{\frac{1200}{7}-\frac{108}{7}}{2\times \frac{10}{7}\times 13}$$

Since \frac{1200}{7} and \frac{108}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1200-108}{7}}{2\times \frac{10}{7}\times 13}$$

Subtract 108 from 1200 to get 1092.

$$\frac{\frac{1092}{7}}{2\times \frac{10}{7}\times 13}$$

Divide 1092 by 7 to get 156.

$$\frac{156}{2\times \frac{10}{7}\times 13}$$

Express 2\times \frac{10}{7} as a single fraction.

$$\frac{156}{\frac{2\times 10}{7}\times 13}$$

Multiply 2 and 10 to get 20.

$$\frac{156}{\frac{20}{7}\times 13}$$

Express \frac{20}{7}\times 13 as a single fraction.

$$\frac{156}{\frac{20\times 13}{7}}$$

Multiply 20 and 13 to get 260.

$$\frac{156}{\frac{260}{7}}$$

Divide 156 by \frac{260}{7} by multiplying 156 by the reciprocal of \frac{260}{7}.

$$156\times \frac{7}{260}$$

Express 156\times \frac{7}{260} as a single fraction.

$$\frac{156\times 7}{260}$$

Multiply 156 and 7 to get 1092.

$$\frac{1092}{260}$$

Reduce the fraction \frac{1092}{260} to lowest terms by extracting and canceling out 52.

$$\frac{21}{5}$$

Factor

$$\frac{3 \cdot 7}{5} = 4\frac{1}{5} = 4.2$$