Compare 1/70 and 30/56
1/70 is smaller than 30/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 70 × 4 = 280,
1/70 = 1 × 4/70 × 4 = 4/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
30/56 = 30 × 5/56 × 5 = 150/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 4/280 < 150/280 or 1/70 < 30/56
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