Compare 7/24 and 15/45
7/24 is smaller than 15/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 24 × 15 = 360,
7/24 = 7 × 15/24 × 15 = 105/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
15/45 = 15 × 8/45 × 8 = 120/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/360 < 120/360 or 7/24 < 15/45
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