Compare 10/84 and 3/10
10/84 is smaller than 3/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 10 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
10/84 = 10 × 5/84 × 5 = 50/420 - Likewise, for the 2nd fraction, since 10 × 42 = 420,
3/10 = 3 × 42/10 × 42 = 126/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/420 < 126/420 or 10/84 < 3/10
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