Compare 7/9 and 40/45
7/9 is smaller than 40/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 45 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 9 × 5 = 45,
7/9 = 7 × 5/9 × 5 = 35/45 - 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
- 35/45 < 40/45 or 7/9 < 40/45
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