Compare 36/9 and 42/10
1st number: 4 0/9, 2nd number: 4 2/10
36/9 is smaller than 42/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 10 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 9 × 10 = 90,
36/9 = 36 × 10/9 × 10 = 360/90 - Likewise, for the 2nd fraction, since 10 × 9 = 90,
42/10 = 42 × 9/10 × 9 = 378/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/90 < 378/90 or 36/9 < 42/10
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