Compare 4/10 and 20/72
4/10 is greater than 20/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 72 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 10 × 36 = 360,
4/10 = 4 × 36/10 × 36 = 144/360 - 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
- 144/360 > 100/360 or 4/10 > 20/72
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