Compare 6/10 and 30/49
6/10 is smaller than 30/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 10 × 49 = 490,
6/10 = 6 × 49/10 × 49 = 294/490 - Likewise, for the 2nd fraction, since 49 × 10 = 490,
30/49 = 30 × 10/49 × 10 = 300/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/490 < 300/490 or 6/10 < 30/49
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