Solve -1635/56+852/56

$$-16 \frac{ 35 }{ 56 } +8 \frac{ 52 }{ 56 }$$

Evaluate

$$-\frac{431}{56}\approx -7.696428571$$

Solution Steps

Multiply 16 and 56 to get 896.

$$-\frac{896+35}{56}+\frac{8\times 56+52}{56}$$

Add 896 and 35 to get 931.

$$-\frac{931}{56}+\frac{8\times 56+52}{56}$$

Reduce the fraction \frac{931}{56} to lowest terms by extracting and canceling out 7.

$$-\frac{133}{8}+\frac{8\times 56+52}{56}$$

Multiply 8 and 56 to get 448.

$$-\frac{133}{8}+\frac{448+52}{56}$$

Add 448 and 52 to get 500.

$$-\frac{133}{8}+\frac{500}{56}$$

Reduce the fraction \frac{500}{56} to lowest terms by extracting and canceling out 4.

$$-\frac{133}{8}+\frac{125}{14}$$

Least common multiple of 8 and 14 is 56. Convert -\frac{133}{8} and \frac{125}{14} to fractions with denominator 56.

$$-\frac{931}{56}+\frac{500}{56}$$

Since -\frac{931}{56} and \frac{500}{56} have the same denominator, add them by adding their numerators.

$$\frac{-931+500}{56}$$

Add -931 and 500 to get -431.

$$-\frac{431}{56}$$

Factor

$$-\frac{431}{56} = -7\frac{39}{56} = -7.696428571428571$$