Compare 10/75 and 42/80
10/75 is smaller than 42/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 80 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
10/75 = 10 × 16/75 × 16 = 160/1200 - Likewise, for the 2nd fraction, since 80 × 15 = 1200,
42/80 = 42 × 15/80 × 15 = 630/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/1200 < 630/1200 or 10/75 < 42/80
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