Compare 10/70 and 70/4
1st number: 10/70, 2nd number: 17 2/4
10/70 is smaller than 70/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 4 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 70 × 2 = 140,
10/70 = 10 × 2/70 × 2 = 20/140 - Likewise, for the 2nd fraction, since 4 × 35 = 140,
70/4 = 70 × 35/4 × 35 = 2450/140 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/140 < 2450/140 or 10/70 < 70/4
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