Solve 7+70000/1+1^2div26/frac{1{2}*25/6div7/6}

$$\frac { \frac { 7 + 70000 } { 1 + 1 ^ { 2 } } \div 26 } { \frac { 1 } { 2 } \times \frac { 25 } { 6 } \div \frac { 7 } { 6 } }$$

Evaluate

$$\frac{490049}{650}\approx 753.921538462$$

Solution Steps

Divide \frac{\frac{7+70000}{1+1^{2}}}{26} by \frac{\frac{1}{2}\times \frac{25}{6}}{\frac{7}{6}} by multiplying \frac{\frac{7+70000}{1+1^{2}}}{26} by the reciprocal of \frac{\frac{1}{2}\times \frac{25}{6}}{\frac{7}{6}}.

$$\frac{\frac{7+70000}{1+1^{2}}\times \frac{7}{6}}{26\times \frac{1}{2}\times \frac{25}{6}}$$

Add 7 and 70000 to get 70007.

$$\frac{\frac{70007}{1+1^{2}}\times \frac{7}{6}}{26\times \frac{1}{2}\times \frac{25}{6}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{\frac{70007}{1+1}\times \frac{7}{6}}{26\times \frac{1}{2}\times \frac{25}{6}}$$

Add 1 and 1 to get 2.

$$\frac{\frac{70007}{2}\times \frac{7}{6}}{26\times \frac{1}{2}\times \frac{25}{6}}$$

Multiply \frac{70007}{2} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{70007\times 7}{2\times 6}}{26\times \frac{1}{2}\times \frac{25}{6}}$$

Do the multiplications in the fraction \frac{70007\times 7}{2\times 6}.

$$\frac{\frac{490049}{12}}{26\times \frac{1}{2}\times \frac{25}{6}}$$

Multiply 26 and \frac{1}{2} to get \frac{26}{2}.

$$\frac{\frac{490049}{12}}{\frac{26}{2}\times \frac{25}{6}}$$

Divide 26 by 2 to get 13.

$$\frac{\frac{490049}{12}}{13\times \frac{25}{6}}$$

Express 13\times \frac{25}{6} as a single fraction.

$$\frac{\frac{490049}{12}}{\frac{13\times 25}{6}}$$

Multiply 13 and 25 to get 325.

$$\frac{\frac{490049}{12}}{\frac{325}{6}}$$

Divide \frac{490049}{12} by \frac{325}{6} by multiplying \frac{490049}{12} by the reciprocal of \frac{325}{6}.

$$\frac{490049}{12}\times \frac{6}{325}$$

Multiply \frac{490049}{12} times \frac{6}{325} by multiplying numerator times numerator and denominator times denominator.

$$\frac{490049\times 6}{12\times 325}$$

Do the multiplications in the fraction \frac{490049\times 6}{12\times 325}.

$$\frac{2940294}{3900}$$

Reduce the fraction \frac{2940294}{3900} to lowest terms by extracting and canceling out 6.

$$\frac{490049}{650}$$

Factor

$$\frac{7 ^ {2} \cdot 73 \cdot 137}{2 \cdot 5 ^ {2} \cdot 13} = 753\frac{599}{650} = 753.9215384615385$$