Compare 42/10 and 36/3
1st number: 4 2/10, 2nd number: 12 0/3
42/10 is smaller than 36/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 3 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 10 × 3 = 30,
42/10 = 42 × 3/10 × 3 = 126/30 - Likewise, for the 2nd fraction, since 3 × 10 = 30,
36/3 = 36 × 10/3 × 10 = 360/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/30 < 360/30 or 42/10 < 36/3
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