Compare 45/84 and 42/27
1st number: 45/84, 2nd number: 1 15/27
45/84 is smaller than 42/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
45/84 = 45 × 9/84 × 9 = 405/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
42/27 = 42 × 28/27 × 28 = 1176/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 405/756 < 1176/756 or 45/84 < 42/27
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