Solve 1/8+6div66/7

$$\frac{ 1 }{ 8 } +6 \div 6 \frac{ 6 }{ 7 }$$

Evaluate

$$1$$

Solution Steps

Divide 6 by \frac{6\times 7+6}{7} by multiplying 6 by the reciprocal of \frac{6\times 7+6}{7}.

$$\frac{1}{8}+\frac{6\times 7}{6\times 7+6}$$

Multiply 6 and 7 to get 42.

$$\frac{1}{8}+\frac{42}{6\times 7+6}$$

Multiply 6 and 7 to get 42.

$$\frac{1}{8}+\frac{42}{42+6}$$

Add 42 and 6 to get 48.

$$\frac{1}{8}+\frac{42}{48}$$

Reduce the fraction \frac{42}{48} to lowest terms by extracting and canceling out 6.

$$\frac{1}{8}+\frac{7}{8}$$

Since \frac{1}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

$$\frac{1+7}{8}$$

Add 1 and 7 to get 8.

$$\frac{8}{8}$$

Divide 8 by 8 to get 1.

$$1$$

Factor

$$1$$