Compare 75/70 and 70/8
1st number: 1 5/70, 2nd number: 8 6/8
75/70 is smaller than 70/8
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,
75/70 = 75 × 4/70 × 4 = 300/280 - Likewise, for the 2nd fraction, since 8 × 35 = 280,
70/8 = 70 × 35/8 × 35 = 2450/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/280 < 2450/280 or 75/70 < 70/8
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