Compare 3/42 and 9/40
3/42 is smaller than 9/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
3/42 = 3 × 20/42 × 20 = 60/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
9/40 = 9 × 21/40 × 21 = 189/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/840 < 189/840 or 3/42 < 9/40
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