Compare 10/14 and 45/15
1st number: 10/14, 2nd number: 3 0/15
10/14 is smaller than 45/15
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,
10/14 = 10 × 15/14 × 15 = 150/210 - Likewise, for the 2nd fraction, since 15 × 14 = 210,
45/15 = 45 × 14/15 × 14 = 630/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/210 < 630/210 or 10/14 < 45/15
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