Solve 70/95-1-1/1+frac{70{95}}

$$\frac{ 70 }{ 95 } -1- \frac{ 1 }{ 1+ \frac{ 70 }{ 95 } }$$

Evaluate

$$-\frac{526}{627}\approx -0.83891547$$

Solution Steps

Reduce the fraction \frac{70}{95} to lowest terms by extracting and canceling out 5.

$$\frac{14}{19}-1-\frac{1}{1+\frac{70}{95}}$$

Convert 1 to fraction \frac{19}{19}.

$$\frac{14}{19}-\frac{19}{19}-\frac{1}{1+\frac{70}{95}}$$

Since \frac{14}{19} and \frac{19}{19} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-19}{19}-\frac{1}{1+\frac{70}{95}}$$

Subtract 19 from 14 to get -5.

$$-\frac{5}{19}-\frac{1}{1+\frac{70}{95}}$$

Reduce the fraction \frac{70}{95} to lowest terms by extracting and canceling out 5.

$$-\frac{5}{19}-\frac{1}{1+\frac{14}{19}}$$

Convert 1 to fraction \frac{19}{19}.

$$-\frac{5}{19}-\frac{1}{\frac{19}{19}+\frac{14}{19}}$$

Since \frac{19}{19} and \frac{14}{19} have the same denominator, add them by adding their numerators.

$$-\frac{5}{19}-\frac{1}{\frac{19+14}{19}}$$

Add 19 and 14 to get 33.

$$-\frac{5}{19}-\frac{1}{\frac{33}{19}}$$

Divide 1 by \frac{33}{19} by multiplying 1 by the reciprocal of \frac{33}{19}.

$$-\frac{5}{19}-1\times \frac{19}{33}$$

Multiply 1 and \frac{19}{33} to get \frac{19}{33}.

$$-\frac{5}{19}-\frac{19}{33}$$

Least common multiple of 19 and 33 is 627. Convert -\frac{5}{19} and \frac{19}{33} to fractions with denominator 627.

$$-\frac{165}{627}-\frac{361}{627}$$

Since -\frac{165}{627} and \frac{361}{627} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-165-361}{627}$$

Subtract 361 from -165 to get -526.

$$-\frac{526}{627}$$

Factor

$$-\frac{526}{627} = -0.8389154704944178$$