Solve 25/7+3/10-4(-69/70)

$$2 \frac { 5 } { 7 } + \frac { 3 } { 10 } - 4 ( \frac { - 69 } { 70 } )$$

Evaluate

$$\frac{487}{70}\approx 6.957142857$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+5}{7}+\frac{3}{10}-4\times \frac{-69}{70}$$

Add 14 and 5 to get 19.

$$\frac{19}{7}+\frac{3}{10}-4\times \frac{-69}{70}$$

Least common multiple of 7 and 10 is 70. Convert \frac{19}{7} and \frac{3}{10} to fractions with denominator 70.

$$\frac{190}{70}+\frac{21}{70}-4\times \frac{-69}{70}$$

Since \frac{190}{70} and \frac{21}{70} have the same denominator, add them by adding their numerators.

$$\frac{190+21}{70}-4\times \frac{-69}{70}$$

Add 190 and 21 to get 211.

$$\frac{211}{70}-4\times \frac{-69}{70}$$

Fraction \frac{-69}{70} can be rewritten as -\frac{69}{70} by extracting the negative sign.

$$\frac{211}{70}-4\left(-\frac{69}{70}\right)$$

Express 4\left(-\frac{69}{70}\right) as a single fraction.

$$\frac{211}{70}-\frac{4\left(-69\right)}{70}$$

Multiply 4 and -69 to get -276.

$$\frac{211}{70}-\frac{-276}{70}$$

Reduce the fraction \frac{-276}{70} to lowest terms by extracting and canceling out 2.

$$\frac{211}{70}-\left(-\frac{138}{35}\right)$$

The opposite of -\frac{138}{35} is \frac{138}{35}.

$$\frac{211}{70}+\frac{138}{35}$$

Least common multiple of 70 and 35 is 70. Convert \frac{211}{70} and \frac{138}{35} to fractions with denominator 70.

$$\frac{211}{70}+\frac{276}{70}$$

Since \frac{211}{70} and \frac{276}{70} have the same denominator, add them by adding their numerators.

$$\frac{211+276}{70}$$

Add 211 and 276 to get 487.

$$\frac{487}{70}$$

Factor

$$\frac{487}{2 \cdot 5 \cdot 7} = 6\frac{67}{70} = 6.957142857142857$$