Compare 7/84 and 24/90
7/84 is smaller than 24/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 90 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
7/84 = 7 × 15/84 × 15 = 105/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
24/90 = 24 × 14/90 × 14 = 336/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/1260 < 336/1260 or 7/84 < 24/90
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