88.5k views
0 votes
How do you do and simplify 8/9 + (-5/6)
Over
1/6

These are fractions btw

User Hyunjung
by
2.9k points

1 Answer

7 votes

Answer:

5 89/100

Explanation:

If there is a negative sign in the denominator of any of the fractions, shift the negative sign(s) to the numerator:

-5/6=5/6

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

5/6÷1/6=5/6×6/1

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

(5 × 6) / (6 × 1) =30 / 6

The Greatest Common Factor (GCF) of 30 and 6 is 6. The result can be simplified by dividing both the numerator and denominator by 6.

30/6= (30 ÷ 6) / (6 ÷ 6) = 5

therefore..

-5/6÷1/6= 5

qns

8/9 + {(-5/6) / (1/6)} = 8/9 + 5 = 5 8/9

Combine the whole numbers and fractions together:

(0 + 5) + (8/9+0)

The whole numbers part is:

0 + 5 = 5

For the fractions part:

The Least Common Multiple (LCM) of 9 and 1 is 9. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

8/9+0=8/9+0 × 9=8/9+0/9

Now that the fractions have like denominators, add the numerators:

8/9+0/9=(8+0)/9=8/9

Put the whole number and fraction together:

5 +8/9=5 8/9

The result is:

8/9+5=5 8/9

User Rpearce
by
3.5k points