Compare 6/28 and 42/80
6/28 is smaller than 42/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 80 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 28 × 20 = 560,
6/28 = 6 × 20/28 × 20 = 120/560 - 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
- 120/560 < 294/560 or 6/28 < 42/80
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