Compare 2/5 and 24/72
2/5 is greater than 24/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 72 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 5 × 72 = 360,
2/5 = 2 × 72/5 × 72 = 144/360 - Likewise, for the 2nd fraction, since 72 × 5 = 360,
24/72 = 24 × 5/72 × 5 = 120/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/360 > 120/360 or 2/5 > 24/72
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