Compare 20/4 and 40/7
1st number: 5 0/4, 2nd number: 5 5/7
20/4 is smaller than 40/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
20/4 = 20 × 7/4 × 7 = 140/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
40/7 = 40 × 4/7 × 4 = 160/28 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/28 < 160/28 or 20/4 < 40/7
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