Compare 16/5 and 40/49
1st number: 3 1/5, 2nd number: 40/49
16/5 is greater than 40/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 5 × 49 = 245,
16/5 = 16 × 49/5 × 49 = 784/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
40/49 = 40 × 5/49 × 5 = 200/245 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 784/245 > 200/245 or 16/5 > 40/49
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