Compare 35/24 and 75/45
1st number: 1 11/24, 2nd number: 1 30/45
35/24 is smaller than 75/45
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,
35/24 = 35 × 15/24 × 15 = 525/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
75/45 = 75 × 8/45 × 8 = 600/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/360 < 600/360 or 35/24 < 75/45
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