Compare 45/14 and 84/8
1st number: 3 3/14, 2nd number: 10 4/8
45/14 is smaller than 84/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 8 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 14 × 4 = 56,
45/14 = 45 × 4/14 × 4 = 180/56 - Likewise, for the 2nd fraction, since 8 × 7 = 56,
84/8 = 84 × 7/8 × 7 = 588/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/56 < 588/56 or 45/14 < 84/8
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