Compare 24/21 and 42/40
1st number: 1 3/21, 2nd number: 1 2/40
24/21 is greater than 42/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 21 × 40 = 840,
24/21 = 24 × 40/21 × 40 = 960/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
42/40 = 42 × 21/40 × 21 = 882/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 960/840 > 882/840 or 24/21 > 42/40
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