Question
Arrange the following fractions in ascending order,
fractions: 1216,49 and 610
Answer: Option B
:
B
To compare the fractions, make the denominators equal.
For that, we have to find LCM of denominators 16,9,10
16=2×2×2×2
9=3×3
10=2×5
LCM of [16, 9, 10] = 2×2×2×2×3×3×5=720
1216=12×4516×45=540720
49=4×809×80=320720
610=6×7210×72=432720
Comparing numerators, 320720<432720<540720
∴49<610<1216
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:
B
To compare the fractions, make the denominators equal.
For that, we have to find LCM of denominators 16,9,10
16=2×2×2×2
9=3×3
10=2×5
LCM of [16, 9, 10] = 2×2×2×2×3×3×5=720
1216=12×4516×45=540720
49=4×809×80=320720
610=6×7210×72=432720
Comparing numerators, 320720<432720<540720
∴49<610<1216
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