Compare 6/72 and 42/56
6/72 is smaller than 42/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
6/72 = 6 × 7/72 × 7 = 42/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
42/56 = 42 × 9/56 × 9 = 378/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/504 < 378/504 or 6/72 < 42/56
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