Compare 9/72 and 4/10
9/72 is smaller than 4/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 10 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 72 × 5 = 360,
9/72 = 9 × 5/72 × 5 = 45/360 - Likewise, for the 2nd fraction, since 10 × 36 = 360,
4/10 = 4 × 36/10 × 36 = 144/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/360 < 144/360 or 9/72 < 4/10
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