Question

What is -1 7/8 + -2 1/4? Please explain why and a step by step :).

Answer 1

-33/8= -4 1/8= -4.125

Explanation:

step 1: Add (-1 7/8) + (-2 1/4)= -33/8

Step 2: convert the mixed number to improper fraction

− 1 7/8 = (1x8/8 + 7/8) = - 8+7/8 = -15/8

Step 3: Add a negative

-15/8 +(-9/4) = -15/8 - 9/4

Adding a negative is the same as subtracting a positive btw

step 4: Find the common denominator

-15/8 - 9/4 = -15x1/8x1 - 9x2/4x2 = -15/8 -18/8

8 is the least common multiple of denominators 8 and 4. Use it to convert to equivalent fractions with this common denominator.

step 5. Simplify

-33/8 = -4 1/8

A. Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

1 is the greatest common divisor of 33 and 8. The result can't be further reduced.

B. Convert improper fraction to mixed number

-33/8 = 04 1/8

33 ÷ 8 = 4 remainder 1

Answer 2

The solution is -4 1/8 or -33/8

Explanation:

`\sf - 1(7)/(8) + ( - 2 (1)/(4) ) \\ \\ = \sf - (15)/(8) - (9)/(4) \\ \\ = \sf ( - 15 - 9(2))/(8) \\ \\ = \sf \: = ( - 15 - 18)/(8) \\ \\ = \sf - (33)/(8) \\ \\ = \sf - 4 (1)/(8)`