Compare 10/72 and 20/32
10/72 is smaller than 20/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 32 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 72 × 4 = 288,
10/72 = 10 × 4/72 × 4 = 40/288 - Likewise, for the 2nd fraction, since 32 × 9 = 288,
20/32 = 20 × 9/32 × 9 = 180/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/288 < 180/288 or 10/72 < 20/32
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