Solve (4,8-53/14)-(-43/35+48/35)

$$( 4,8 - 5 \frac { 3 } { 14 } ) - ( - 4 \frac { 3 } { 35 } + 4 \frac { 8 } { 35 } )$$

Evaluate

$$-\frac{39}{70}\approx -0,557142857$$

Solution Steps

Multiply 5 and 14 to get 70.

$$4,8-\frac{70+3}{14}-\left(-\frac{4\times 35+3}{35}+\frac{4\times 35+8}{35}\right)$$

Add 70 and 3 to get 73.

$$4,8-\frac{73}{14}-\left(-\frac{4\times 35+3}{35}+\frac{4\times 35+8}{35}\right)$$

Convert decimal number 4,8 to fraction \frac{48}{10}. Reduce the fraction \frac{48}{10} to lowest terms by extracting and canceling out 2.

$$\frac{24}{5}-\frac{73}{14}-\left(-\frac{4\times 35+3}{35}+\frac{4\times 35+8}{35}\right)$$

Least common multiple of 5 and 14 is 70. Convert \frac{24}{5} and \frac{73}{14} to fractions with denominator 70.

$$\frac{336}{70}-\frac{365}{70}-\left(-\frac{4\times 35+3}{35}+\frac{4\times 35+8}{35}\right)$$

Since \frac{336}{70} and \frac{365}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{336-365}{70}-\left(-\frac{4\times 35+3}{35}+\frac{4\times 35+8}{35}\right)$$

Subtract 365 from 336 to get -29.

$$-\frac{29}{70}-\left(-\frac{4\times 35+3}{35}+\frac{4\times 35+8}{35}\right)$$

Multiply 4 and 35 to get 140.

$$-\frac{29}{70}-\left(-\frac{140+3}{35}+\frac{4\times 35+8}{35}\right)$$

Add 140 and 3 to get 143.

$$-\frac{29}{70}-\left(-\frac{143}{35}+\frac{4\times 35+8}{35}\right)$$

Multiply 4 and 35 to get 140.

$$-\frac{29}{70}-\left(-\frac{143}{35}+\frac{140+8}{35}\right)$$

Add 140 and 8 to get 148.

$$-\frac{29}{70}-\left(-\frac{143}{35}+\frac{148}{35}\right)$$

Since -\frac{143}{35} and \frac{148}{35} have the same denominator, add them by adding their numerators.

$$-\frac{29}{70}-\frac{-143+148}{35}$$

Add -143 and 148 to get 5.

$$-\frac{29}{70}-\frac{5}{35}$$

Reduce the fraction \frac{5}{35} to lowest terms by extracting and canceling out 5.

$$-\frac{29}{70}-\frac{1}{7}$$

Least common multiple of 70 and 7 is 70. Convert -\frac{29}{70} and \frac{1}{7} to fractions with denominator 70.

$$-\frac{29}{70}-\frac{10}{70}$$

Since -\frac{29}{70} and \frac{10}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-29-10}{70}$$

Subtract 10 from -29 to get -39.

$$-\frac{39}{70}$$

Factor

$$-\frac{39}{70} = -0.5571428571428572$$