Compare 10/24 and 7/45
10/24 is greater than 7/45
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,
10/24 = 10 × 15/24 × 15 = 150/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
7/45 = 7 × 8/45 × 8 = 56/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/360 > 56/360 or 10/24 > 7/45
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