Compare 30/9 and 16/40
1st number: 3 3/9, 2nd number: 16/40
30/9 is greater than 16/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
30/9 = 30 × 40/9 × 40 = 1200/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
16/40 = 16 × 9/40 × 9 = 144/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1200/360 > 144/360 or 30/9 > 16/40
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