Compare 36/5 and 40/9
1st number: 7 1/5, 2nd number: 4 4/9
36/5 is greater than 40/9
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,
36/5 = 36 × 9/5 × 9 = 324/45 - Likewise, for the 2nd fraction, since 9 × 5 = 45,
40/9 = 40 × 5/9 × 5 = 200/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/45 > 200/45 or 36/5 > 40/9
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