Compare 3/10 and 30/84
3/10 is smaller than 30/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
3/10 = 3 × 42/10 × 42 = 126/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/420 < 150/420 or 3/10 < 30/84
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