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each month, lilian spends 1/3 of her salary, saves 3/8 of the remainder and shares the rest of her salary equally among her brother and sister. What fraction of her salary does each of them receive?

Sagot :

Salary = 1/3
Remainder:  3/3 - 1/3 = 2/3
Savings= 3/8 (2/3)
             = 6/24 or  1/4

LCD or 1/3 and 1/4:  12

Step 1:  Re-write as similar fractions, then add:
4/12 + 3/12 = 7/12

Expenses + savings = 7/12

Step 2:  Solve for the fractional part of the rest of her salary by subtracting 7/12 from the whole:

12/12 - 7/12 = 5/12  
Rest of salary = 5/12

Step 3:  Divide 5/12 equally among brother and sister:

(5/12) ÷ (2)

Rule in dividing fractions:  Multiply the first term by the reciprocal of divisor.

(5/12) × (1/2) = 5/24

ANSWER:  Each of Lilian's sibling receives 5/24 of her salary.
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