8/9:(3/4+1/2), (3/5-12/25):4/5, 4/15:(1 1/5-2/3)=
8/9:(3/4+1/2), (3/5-12/25):4/5, 4/15:(1 1/5-2/3)=
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To solve these expressions, we need to simplify each one step by step.
(3/4 + 1/2):First, find a common denominator for 4 and 2, which is 4. Then, rewrite the expression with the common denominator:
(3/4 + 2/4) = 5/4
Therefore, the answer is 5/4.
(3/5 - 12/25) / 4/5:First, find a common denominator for 5 and 25, which is 25. Then, rewrite the expression with the common denominator:
(15/25 - 12/25) / 4/5 = 3/25 / 4/5
Next, divide the fractions by multiplying by the reciprocal of the second fraction:
(3/25) x (5/4) = 15/100 = 3/20
Therefore, the answer is 3/20.
4/15 / (1 1/5 - 2/3):Convert the mixed number 1 1/5 to an improper fraction.
1 1/5 = 6/5
Now we have:
4/15 / (6/5 - 2/3) = 4/15 / (18/15 - 10/15) = 4/15 / 8/15
Next, divide the fractions by multiplying by the reciprocal of the second fraction:
(4/15) x (15/8) = 60/120 = 1/2
Therefore, the answer is 1/2.