Compare 8/28 and 50/90
8/28 is smaller than 50/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 90 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 28 × 45 = 1260,
8/28 = 8 × 45/28 × 45 = 360/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
50/90 = 50 × 14/90 × 14 = 700/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/1260 < 700/1260 or 8/28 < 50/90
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