Compare 10/42 and 28/72
10/42 is smaller than 28/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 72 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 42 × 12 = 504,
10/42 = 10 × 12/42 × 12 = 120/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
28/72 = 28 × 7/72 × 7 = 196/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/504 < 196/504 or 10/42 < 28/72
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