Compare 45/28 and 30/7
1st number: 1 17/28, 2nd number: 4 2/7
45/28 is smaller than 30/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 7 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 28 × 1 = 28,
45/28 = 45 × 1/28 × 1 = 45/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
30/7 = 30 × 4/7 × 4 = 120/28 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/28 < 120/28 or 45/28 < 30/7
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