Compare 75/70 and 96/40
1st number: 1 5/70, 2nd number: 2 16/40
75/70 is smaller than 96/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 40 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 40 × 7 = 280,
96/40 = 96 × 7/40 × 7 = 672/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/280 < 672/280 or 75/70 < 96/40
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