Compare 40/6 and 30/16
1st number: 6 4/6, 2nd number: 1 14/16
40/6 is greater than 30/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 6 × 8 = 48,
40/6 = 40 × 8/6 × 8 = 320/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
30/16 = 30 × 3/16 × 3 = 90/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/48 > 90/48 or 40/6 > 30/16
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