Question

2 7/15-(2 2/15-8 1/9)=

Answer 1

2 2/15-8 1/9=96/45-365/45=-269/45=-5 44/45
2 7/15-(-5 44/45)=111/45-(-269/45)=380/45=8 8/9

Answer 2

To solve the expression 2 7/15 - (2 2/15 - 8 1/9), you can follow these steps:

Step 1: Subtract the second number (2 2/15 - 8 1/9):

First, convert both fractions to have the same denominator. The common denominator for 15 and 9 is 45.

2 2/15 = 2 * 3/3 + 2/15 = 6/15 + 2/15 = 8/15 8 1/9 = 8 * 5/5 + 1/9 = 40/45 + 5/45 = 45/45 + 5/45 = 50/45

Now, subtract them:

(8/15) - (50/45) = (8/15) - (10/9)

Step 2: Find a common denominator for 15 and 9, which is 135. Then, convert the fractions:

(8/15) * (9/9) = 72/135 (10/9) * (15/15) = 150/135

Step 3: Subtract the fractions:

(72/135) - (150/135) = (72 - 150) / 135 = (-78/135)

Step 4: Simplify the fraction by finding the greatest common divisor (GCD) of 78 and 135, which is 9:

(-78/135) ÷ (9/9) = (-78/9) / (135/9) = -78/9 ÷ 135/9 = -78/135

Step 5: Reduce the fraction to its simplest form:

-78/135 = -26/45

So, 2 7/15 - (2 2/15 - 8 1/9) = -26/45.