Compare 30/35 and 40/60
30/35 is greater than 40/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
30/35 = 30 × 12/35 × 12 = 360/420 - Likewise, for the 2nd fraction, since 60 × 7 = 420,
40/60 = 40 × 7/60 × 7 = 280/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/420 > 280/420 or 30/35 > 40/60
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