Compare 3/10 and 42/70
3/10 is smaller than 42/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 70 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 10 × 7 = 70,
3/10 = 3 × 7/10 × 7 = 21/70 - Likewise, for the 2nd fraction, since 70 × 1 = 70,
42/70 = 42 × 1/70 × 1 = 42/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/70 < 42/70 or 3/10 < 42/70
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