Compare 10/49 and 3/10
10/49 is smaller than 3/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 10 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 49 × 10 = 490,
10/49 = 10 × 10/49 × 10 = 100/490 - Likewise, for the 2nd fraction, since 10 × 49 = 490,
3/10 = 3 × 49/10 × 49 = 147/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/490 < 147/490 or 10/49 < 3/10
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