Compare 30/80 and 21/7
1st number: 30/80, 2nd number: 3 0/7
30/80 is smaller than 21/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 7 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 80 × 7 = 560,
30/80 = 30 × 7/80 × 7 = 210/560 - Likewise, for the 2nd fraction, since 7 × 80 = 560,
21/7 = 21 × 80/7 × 80 = 1680/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/560 < 1680/560 or 30/80 < 21/7
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