Compare 45/25 and 30/7
1st number: 1 20/25, 2nd number: 4 2/7
45/25 is smaller than 30/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 7 is 175
Next, find the equivalent fraction of both fractional numbers with denominator 175 - For the 1st fraction, since 25 × 7 = 175,
45/25 = 45 × 7/25 × 7 = 315/175 - Likewise, for the 2nd fraction, since 7 × 25 = 175,
30/7 = 30 × 25/7 × 25 = 750/175 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/175 < 750/175 or 45/25 < 30/7
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