Compare 30/42 and 12/72
30/42 is greater than 12/72
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,
30/42 = 30 × 12/42 × 12 = 360/504 - Likewise, for the 2nd fraction, since 72 × 7 = 504,
12/72 = 12 × 7/72 × 7 = 84/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/504 > 84/504 or 30/42 > 12/72
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