Compare 10/8 and 36/15, Which fraction is greater?

Compare 10/8 and 36/15

1^st number: 1 2/8, 2^nd number: 2 6/15

10/8 is smaller than 36/15

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 15 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 8 × 15 = 120,
10/8 = 10 × 15/8 × 15 = 150/120
Likewise, for the 2nd fraction, since 15 × 8 = 120,
36/15 = 36 × 8/15 × 8 = 288/120
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
150/120 < 288/120 or 10/8 < 36/15

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