Compare 24/60 and 40/45
24/60 is smaller than 40/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 60 × 3 = 180,
24/60 = 24 × 3/60 × 3 = 72/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
40/45 = 40 × 4/45 × 4 = 160/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/180 < 160/180 or 24/60 < 40/45
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