Compare 1/10 and 42/56
1/10 is smaller than 42/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 10 × 28 = 280,
1/10 = 1 × 28/10 × 28 = 28/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
42/56 = 42 × 5/56 × 5 = 210/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/280 < 210/280 or 1/10 < 42/56
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