Compare 21/3 and 40/35
1st number: 7 0/3, 2nd number: 1 5/35
21/3 is greater than 40/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 3 × 35 = 105,
21/3 = 21 × 35/3 × 35 = 735/105 - 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
- 735/105 > 120/105 or 21/3 > 40/35
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