Compare 45/14 and 84/15
1st number: 3 3/14, 2nd number: 5 9/15
45/14 is smaller than 84/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 15 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 14 × 15 = 210,
45/14 = 45 × 15/14 × 15 = 675/210 - Likewise, for the 2nd fraction, since 15 × 14 = 210,
84/15 = 84 × 14/15 × 14 = 1176/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/210 < 1176/210 or 45/14 < 84/15
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