Compare 36/80 and 24/35
36/80 is smaller than 24/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 35 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 80 × 7 = 560,
36/80 = 36 × 7/80 × 7 = 252/560 - Likewise, for the 2nd fraction, since 35 × 16 = 560,
24/35 = 24 × 16/35 × 16 = 384/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 252/560 < 384/560 or 36/80 < 24/35
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