Compare 1/4 and 45/80
1/4 is smaller than 45/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 80 is 80
Next, find the equivalent fraction of both fractional numbers with denominator 80 - For the 1st fraction, since 4 × 20 = 80,
1/4 = 1 × 20/4 × 20 = 20/80 - Likewise, for the 2nd fraction, since 80 × 1 = 80,
45/80 = 45 × 1/80 × 1 = 45/80 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 20/80 < 45/80 or 1/4 < 45/80
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