Compare 40/30 and 8/7
1st number: 1 10/30, 2nd number: 1 1/7
40/30 is greater than 8/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
40/30 = 40 × 7/30 × 7 = 280/210 - Likewise, for the 2nd fraction, since 7 × 30 = 210,
8/7 = 8 × 30/7 × 30 = 240/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/210 > 240/210 or 40/30 > 8/7
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