Compare 45/28 and 30/8
1st number: 1 17/28, 2nd number: 3 6/8
45/28 is smaller than 30/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 8 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 28 × 2 = 56,
45/28 = 45 × 2/28 × 2 = 90/56 - Likewise, for the 2nd fraction, since 8 × 7 = 56,
30/8 = 30 × 7/8 × 7 = 210/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/56 < 210/56 or 45/28 < 30/8
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