Compare 15/8 and 40/28
1st number: 1 7/8, 2nd number: 1 12/28
15/8 is greater than 40/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 28 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 8 × 7 = 56,
15/8 = 15 × 7/8 × 7 = 105/56 - Likewise, for the 2nd fraction, since 28 × 2 = 56,
40/28 = 40 × 2/28 × 2 = 80/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/56 > 80/56 or 15/8 > 40/28
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