Compare 2/35 and 42/80
2/35 is smaller than 42/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 80 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 35 × 16 = 560,
2/35 = 2 × 16/35 × 16 = 32/560 - Likewise, for the 2nd fraction, since 80 × 7 = 560,
42/80 = 42 × 7/80 × 7 = 294/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/560 < 294/560 or 2/35 < 42/80
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