Compare 40/7 and 30/16
1st number: 5 5/7, 2nd number: 1 14/16
40/7 is greater than 30/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 7 × 16 = 112,
40/7 = 40 × 16/7 × 16 = 640/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
30/16 = 30 × 7/16 × 7 = 210/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/112 > 210/112 or 40/7 > 30/16
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