Compare 40/7 and 21/30
1st number: 5 5/7, 2nd number: 21/30
40/7 is greater than 21/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 7 × 30 = 210,
40/7 = 40 × 30/7 × 30 = 1200/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
21/30 = 21 × 7/30 × 7 = 147/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1200/210 > 147/210 or 40/7 > 21/30
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