Compare 14/20 and 42/45
14/20 is smaller than 42/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 20 × 9 = 180,
14/20 = 14 × 9/20 × 9 = 126/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
42/45 = 42 × 4/45 × 4 = 168/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/180 < 168/180 or 14/20 < 42/45
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