Compare 7/21 and 40/35
1st number: 7/21, 2nd number: 1 5/35
7/21 is smaller than 40/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
7/21 = 7 × 5/21 × 5 = 35/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
40/35 = 40 × 3/35 × 3 = 120/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/105 < 120/105 or 7/21 < 40/35
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