Compare 20/84 and 48/45
1st number: 20/84, 2nd number: 1 3/45
20/84 is smaller than 48/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
20/84 = 20 × 15/84 × 15 = 300/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
48/45 = 48 × 28/45 × 28 = 1344/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/1260 < 1344/1260 or 20/84 < 48/45
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