Solve 70/80-1-1/1+frac{70{80}}

$$\frac{ 70 }{ 80 } -1- \frac{ 1 }{ 1+ \frac{ 70 }{ 80 } }$$

Evaluate

$$-\frac{79}{120}\approx -0.658333333$$

Solution Steps

Reduce the fraction \frac{70}{80} to lowest terms by extracting and canceling out 10.

$$\frac{7}{8}-1-\frac{1}{1+\frac{70}{80}}$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{7}{8}-\frac{8}{8}-\frac{1}{1+\frac{70}{80}}$$

Since \frac{7}{8} and \frac{8}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-8}{8}-\frac{1}{1+\frac{70}{80}}$$

Subtract 8 from 7 to get -1.

$$-\frac{1}{8}-\frac{1}{1+\frac{70}{80}}$$

Reduce the fraction \frac{70}{80} to lowest terms by extracting and canceling out 10.

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

Convert 1 to fraction \frac{8}{8}.

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

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

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

Add 8 and 7 to get 15.

$$-\frac{1}{8}-\frac{1}{\frac{15}{8}}$$

Divide 1 by \frac{15}{8} by multiplying 1 by the reciprocal of \frac{15}{8}.

$$-\frac{1}{8}-1\times \frac{8}{15}$$

Multiply 1 and \frac{8}{15} to get \frac{8}{15}.

$$-\frac{1}{8}-\frac{8}{15}$$

Least common multiple of 8 and 15 is 120. Convert -\frac{1}{8} and \frac{8}{15} to fractions with denominator 120.

$$-\frac{15}{120}-\frac{64}{120}$$

Since -\frac{15}{120} and \frac{64}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-15-64}{120}$$

Subtract 64 from -15 to get -79.

$$-\frac{79}{120}$$

Factor

$$-\frac{79}{120} = -0.6583333333333333$$