Compare 45/40 and 48/7
1st number: 1 5/40, 2nd number: 6 6/7
45/40 is smaller than 48/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 7 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
45/40 = 45 × 7/40 × 7 = 315/280 - Likewise, for the 2nd fraction, since 7 × 40 = 280,
48/7 = 48 × 40/7 × 40 = 1920/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/280 < 1920/280 or 45/40 < 48/7
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