Compare 40/9 and 40/7
1st number: 4 4/9, 2nd number: 5 5/7
40/9 is smaller than 40/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 7 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 9 × 7 = 63,
40/9 = 40 × 7/9 × 7 = 280/63 - Likewise, for the 2nd fraction, since 7 × 9 = 63,
40/7 = 40 × 9/7 × 9 = 360/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/63 < 360/63 or 40/9 < 40/7
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