Question

1) -8 -( -1/7) 2) -5/12 - (-4)

Answer 1

-8 -( -1/7) 2) -5/12 - (-4)= -8 +2/7  -5/12 +4=- 4  5/12+2/7=-4  35/84 +24/84=

-4 11/84

Answer 2

Let's solve the given expressions step by step:

1. -8 - (-1/7):

To subtract a negative number, we can change the operation to addition. Therefore, the expression becomes:

-8 + (1/7)

Now, to add fractions, we need a common denominator. In this case, the common denominator is 7:

(-8 * 7)/(1 * 7) + 1/7

Simplifying the numerator:

-56/7 + 1/7

Combining the fractions:

(-56 + 1)/7

Simplifying the numerator:

-55/7

So, the result is -55/7.

2. -5/12 - (-4):

To subtract a negative number, we can change the operation to addition:

-5/12 + 4

To add fractions, we need a common denominator. In this case, the common denominator is 12:

(-5/12 * 12)/(1 * 12) + 4

Simplifying the numerator:

-5 + 48/12

Converting the improper fraction:

-5 + 4

Performing the addition:

-1

So, the result is -1.