Compare 3/40 and 10/21
340 is smaller than 1021
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 21 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
340 = 3 × 2140 × 21 = 63840 - Likewise, for the 2nd fraction, since 21 × 40 = 840,
1021 = 10 × 4021 × 40 = 400840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63840 < 400840 or 340 < 1021
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