Compare 32/5 and 70/9
1st number: 6 2/5, 2nd number: 7 7/9
32/5 is smaller than 70/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 9 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 5 × 9 = 45,
32/5 = 32 × 9/5 × 9 = 288/45 - Likewise, for the 2nd fraction, since 9 × 5 = 45,
70/9 = 70 × 5/9 × 5 = 350/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/45 < 350/45 or 32/5 < 70/9
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