Compare 10/70 and 30/8
1st number: 10/70, 2nd number: 3 6/8
10/70 is smaller than 30/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 8 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 70 × 4 = 280,
10/70 = 10 × 4/70 × 4 = 40/280 - Likewise, for the 2nd fraction, since 8 × 35 = 280,
30/8 = 30 × 35/8 × 35 = 1050/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/280 < 1050/280 or 10/70 < 30/8
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