Question

(-8 7/8)-(-5 3/4) ; (8 3/4)-(-5 5/6)

Answer 1

(-8 7/8)-(-5 3/4)=-8 7/8+5 6/8=-3 1/8
8 3/4-(-5 5/6)=8 9/12+5 10/12=14 7/12

Answer 2

Let's simplify each of the given expressions step by step:

1. $(-8 \frac{7}{8}) - (-5 \frac{3}{4})$

First, let's convert the mixed numbers to improper fractions: $-8 \frac{7}{8} = -\frac{71}{8}$ $-5 \frac{3}{4} = -\frac{23}{4}$

Now, subtract the second fraction from the first: $-\frac{71}{8} - (-\frac{23}{4}) = -\frac{71}{8} + \frac{23}{4}$

To add these fractions, we need a common denominator. The common denominator of 8 and 4 is 8. $-\frac{71}{8} + \frac{23}{4} = -\frac{71}{8} + \frac{46}{8} = -\frac{25}{8}$

So, the result of the first expression is $-\frac{25}{8}$.

2. $8 \frac{3}{4} - (-5 \frac{5}{6})$

Again, convert the mixed numbers to improper fractions: $8 \frac{3}{4} = \frac{35}{4}$ $-5 \frac{5}{6} = -\frac{35}{6}$

Now, subtract the second fraction from the first: $\frac{35}{4} - (-\frac{35}{6}) = \frac{35}{4} + \frac{35}{6}$

To add these fractions, we need a common denominator. The common denominator of 4 and 6 is 12. $\frac{35}{4} + \frac{35}{6} = \frac{105}{12} + \frac{70}{12} = \frac{175}{12}$

So, the result of the second expression is $\frac{175}{12}$.

In summary: $(-8 \frac{7}{8}) - (-5 \frac{3}{4}) = -\frac{25}{8}$ $8 \frac{3}{4} - (-5 \frac{5}{6}) = \frac{175}{12}$