Compare 30/40 and 40/6
1st number: 30/40, 2nd number: 6 4/6
30/40 is smaller than 40/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 6 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
30/40 = 30 × 3/40 × 3 = 90/120 - Likewise, for the 2nd fraction, since 6 × 20 = 120,
40/6 = 40 × 20/6 × 20 = 800/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/120 < 800/120 or 30/40 < 40/6
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