Compare 7/4 and 49/25
1st number: 1 3/4, 2nd number: 1 24/25
7/4 is smaller than 49/25
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 25 is 100
Next, find the equivalent fraction of both fractional numbers with denominator 100 - For the 1st fraction, since 4 × 25 = 100,
7/4 = 7 × 25/4 × 25 = 175/100 - Likewise, for the 2nd fraction, since 25 × 4 = 100,
49/25 = 49 × 4/25 × 4 = 196/100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/100 < 196/100 or 7/4 < 49/25
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