Compare 20/30 and 20/72
20/30 is greater than 20/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 72 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 30 × 12 = 360,
20/30 = 20 × 12/30 × 12 = 240/360 - Likewise, for the 2nd fraction, since 72 × 5 = 360,
20/72 = 20 × 5/72 × 5 = 100/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/360 > 100/360 or 20/30 > 20/72
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