Compare 40/30 and 12/7
1st number: 1 10/30, 2nd number: 1 5/7
40/30 is smaller than 12/7
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,
12/7 = 12 × 30/7 × 30 = 360/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/210 < 360/210 or 40/30 < 12/7
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