Compare 36/10 and 42/30
1st number: 3 6/10, 2nd number: 1 12/30
36/10 is greater than 42/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 30 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 10 × 3 = 30,
36/10 = 36 × 3/10 × 3 = 108/30 - Likewise, for the 2nd fraction, since 30 × 1 = 30,
42/30 = 42 × 1/30 × 1 = 42/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/30 > 42/30 or 36/10 > 42/30
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