Compare 30/70 and 84/5
1st number: 30/70, 2nd number: 16 4/5
30/70 is smaller than 84/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 5 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 70 × 1 = 70,
30/70 = 30 × 1/70 × 1 = 30/70 - Likewise, for the 2nd fraction, since 5 × 14 = 70,
84/5 = 84 × 14/5 × 14 = 1176/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/70 < 1176/70 or 30/70 < 84/5
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