Question

1) (7/15-1/6)+2/5 2) (3/8-1/9)+25/36

Answer 1

1) 7/15-1/6=9/30

2/5+9/30=7/10=0.7

2) 3/8-1/9=19/72

19/72+25/36=69/72=23/24

Answer 2

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Answer 3

Let's simplify the given expressions:

1. (7/15 - 1/6) + 2/5

To perform the addition and subtraction of fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 15 and 6 is 30.

(7/15 - 1/6) can be converted to the common denominator as follows: [(7/15) * (2/2)] - [(1/6) * (5/5)] = (14/30) - (5/30) = (14 - 5)/30 = 9/30

Now, we add the third fraction: (9/30) + 2/5

To add these fractions, we again find a common denominator, which is 30: (9/30) + (12/30) = (9 + 12)/30 = 21/30

Finally, we simplify the fraction: 21/30 = (7 * 3)/(10 * 3) = 7/10

So, the answer to the first expression is 7/10.

2. (3/8 - 1/9) + 25/36

To perform the addition and subtraction of fractions, we need to find a common denominator. The LCM of 8 and 9 is 72.

(3/8 - 1/9) can be converted to the common denominator as follows: [(3/8) * (9/9)] - [(1/9) * (8/8)] = (27/72) - (8/72) = (27 - 8)/72 = 19/72

Now, we add the third fraction: (19/72) + 25/36

To add these fractions, we again find a common denominator, which is 72: (19/72) + (50/72) = (19 + 50)/72 = 69/72

So, the answer to the second expression is 69/72.