Compare 40/45 and 30/50
40/45 is greater than 30/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 50 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 45 × 10 = 450,
40/45 = 40 × 10/45 × 10 = 400/450 - Likewise, for the 2nd fraction, since 50 × 9 = 450,
30/50 = 30 × 9/50 × 9 = 270/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/450 > 270/450 or 40/45 > 30/50
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