Compare 40/45 and 7/5
1st number: 40/45, 2nd number: 1 2/5
40/45 is smaller than 7/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 5 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 45 × 1 = 45,
40/45 = 40 × 1/45 × 1 = 40/45 - Likewise, for the 2nd fraction, since 5 × 9 = 45,
7/5 = 7 × 9/5 × 9 = 63/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/45 < 63/45 or 40/45 < 7/5
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