MATH SOLVE

10 months ago

Q:
# Add the opposite number of 1 1/5 to the sum of the numbers (β8 3/4 ) and (β2 5/6 ).

Accepted Solution

A:

Start by finding the sum of (-8 3/4) and (-2 5/6).Β Find the least common denominator (LCD).Β 12 is the first thing that both 4 and 6 will evenly divide into, so we convert both fractions to 12ths:

-8 3/4 = -8 9/12 (multiply 4 by 3 to get 12, so multiply the numerator, 3, by 3 as well)

-2 5/6 = -2 10/12 (multiply 6 by 2 to get 12, so multiply the numerator, 5, by 2 as well)

-8 9/12 + -2 10/12 = -10 19/12

We must convert the improper fraction.Β 12 goes into 19 1 time with 7 left over, so 19/12 = 1 7/12

This means that -10 19/12 = -11 7/12

The opposite of 1 1/5 is -1 1/5.Β Add this to -11 7/12.Β Again find the LCD; in this case it is 60.

-1 1/5 = -1 12/60

-11 7/12 = -11 35/60

Adding these two we get -12 47/60.

-8 3/4 = -8 9/12 (multiply 4 by 3 to get 12, so multiply the numerator, 3, by 3 as well)

-2 5/6 = -2 10/12 (multiply 6 by 2 to get 12, so multiply the numerator, 5, by 2 as well)

-8 9/12 + -2 10/12 = -10 19/12

We must convert the improper fraction.Β 12 goes into 19 1 time with 7 left over, so 19/12 = 1 7/12

This means that -10 19/12 = -11 7/12

The opposite of 1 1/5 is -1 1/5.Β Add this to -11 7/12.Β Again find the LCD; in this case it is 60.

-1 1/5 = -1 12/60

-11 7/12 = -11 35/60

Adding these two we get -12 47/60.