3. Find the average monthly consumption of oil in a family, if it uses 2 ½ litres, 3 ¼ litres, 3 ½ litres of oil in 3 consecutive months
Answers
Answer:
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Step-by-step explanation:
2.5 + 3.25 + 3.5 =9.25
9.25/3=3.083
or
5/2 + 13/4 + 7/2
lcm
10/4+13/4+14/4= 9.25 /3
Solution :-
→ Consumption of oil in first month = 2(1/2) litre = (5/2) litre
→ Consumption of oil in second month = 3(1/4) litre = (13/4) litre
→ Consumption of oil in third month = 3(1/2) litre = (7/2) litre
so,
→ Total consumption of oil in three months = (5/2) + (13/4) + (7/2) = (5 * 2 + 13 + 7*2) /4 = (37/4) litre .
then,
→ Required average = Total consumption /Total months = (37/4) / 3 = (37/4) * (1/3) = (37/12) = 3(1/12) litre (Ans.)
Method 2) :-
Total consumption of oil in three months :- → 2(1/2) + 3(1/4) + 3(1/2)
adding whole number parts and fractional parts together,
→ (2 + 3 + 3) + (1/2 + 1/4 + 1/2)
since (1/2 + 1/2 = 1,
→ 8 + 1 + (1/4)
→ 9(1/4)
→ (37/4)
then,
→ The average monthly consumption of oil in a family = (37/4) * (1/3) = (37/12) = 3(1/12) litre (Ans.)
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