Compare 30/35 and 10/49
30/35 is greater than 10/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
30/35 = 30 × 7/35 × 7 = 210/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
10/49 = 10 × 5/49 × 5 = 50/245 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/245 > 50/245 or 30/35 > 10/49
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