Compare 10/27 and 49/45
1st number: 10/27, 2nd number: 1 4/45
10/27 is smaller than 49/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 45 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 27 × 5 = 135,
10/27 = 10 × 5/27 × 5 = 50/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
49/45 = 49 × 3/45 × 3 = 147/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/135 < 147/135 or 10/27 < 49/45
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