Compare 45/40 and 48/9
1st number: 1 5/40, 2nd number: 5 3/9
45/40 is smaller than 48/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 9 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
45/40 = 45 × 9/40 × 9 = 405/360 - Likewise, for the 2nd fraction, since 9 × 40 = 360,
48/9 = 48 × 40/9 × 40 = 1920/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 405/360 < 1920/360 or 45/40 < 48/9
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