Compare 21/25 and 45/7
1st number: 21/25, 2nd number: 6 3/7
21/25 is smaller than 45/7
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,
21/25 = 21 × 7/25 × 7 = 147/175 - Likewise, for the 2nd fraction, since 7 × 25 = 175,
45/7 = 45 × 25/7 × 25 = 1125/175 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/175 < 1125/175 or 21/25 < 45/7
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