Solve 8/1/frac{-2{7}+16/49}

$$\frac { \frac { 8 } { 1 } } { \frac { - 2 } { 7 } + \frac { 16 } { 49 } }$$

Evaluate

$$196$$

Solution Steps

Anything divided by one gives itself.

$$\frac{8}{\frac{-2}{7}+\frac{16}{49}}$$

Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.

$$\frac{8}{-\frac{2}{7}+\frac{16}{49}}$$

Least common multiple of 7 and 49 is 49. Convert -\frac{2}{7} and \frac{16}{49} to fractions with denominator 49.

$$\frac{8}{-\frac{14}{49}+\frac{16}{49}}$$

Since -\frac{14}{49} and \frac{16}{49} have the same denominator, add them by adding their numerators.

$$\frac{8}{\frac{-14+16}{49}}$$

Add -14 and 16 to get 2.

$$\frac{8}{\frac{2}{49}}$$

Divide 8 by \frac{2}{49} by multiplying 8 by the reciprocal of \frac{2}{49}.

$$8\times \frac{49}{2}$$

Express 8\times \frac{49}{2} as a single fraction.

$$\frac{8\times 49}{2}$$

Multiply 8 and 49 to get 392.

$$\frac{392}{2}$$

Divide 392 by 2 to get 196.

$$196$$

Factor

$$2^{2}\times 7^{2}$$