Compare 1/6 and 45/63
1/6 is smaller than 45/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 63 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 6 × 21 = 126,
1/6 = 1 × 21/6 × 21 = 21/126 - Likewise, for the 2nd fraction, since 63 × 2 = 126,
45/63 = 45 × 2/63 × 2 = 90/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/126 < 90/126 or 1/6 < 45/63
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