Compare 4/10 and 35/49
4/10 is smaller than 35/49
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,
4/10 = 4 × 49/10 × 49 = 196/490 - Likewise, for the 2nd fraction, since 49 × 10 = 490,
35/49 = 35 × 10/49 × 10 = 350/490 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 196/490 < 350/490 or 4/10 < 35/49
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