Compare 9/5 and 40/45
1st number: 1 4/5, 2nd number: 40/45
9/5 is greater than 40/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 45 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 5 × 9 = 45,
9/5 = 9 × 9/5 × 9 = 81/45 - Likewise, for the 2nd fraction, since 45 × 1 = 45,
40/45 = 40 × 1/45 × 1 = 40/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/45 > 40/45 or 9/5 > 40/45
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