Compare 1/45 and 7/25
1/45 is smaller than 7/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 25 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 45 × 5 = 225,
1/45 = 1 × 5/45 × 5 = 5/225 - Likewise, for the 2nd fraction, since 25 × 9 = 225,
7/25 = 7 × 9/25 × 9 = 63/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 5/225 < 63/225 or 1/45 < 7/25
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