Compare 10/28 and 20/72
10/28 is greater than 20/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 28 × 18 = 504,
10/28 = 10 × 18/28 × 18 = 180/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
20/72 = 20 × 7/72 × 7 = 140/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/504 > 140/504 or 10/28 > 20/72
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