Compare 75/4 and 98/49
1st number: 18 3/4, 2nd number: 2 0/49
75/4 is greater than 98/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
75/4 = 75 × 49/4 × 49 = 3675/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
98/49 = 98 × 4/49 × 4 = 392/196 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3675/196 > 392/196 or 75/4 > 98/49
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