Compare 30/36 and 42/10
1st number: 30/36, 2nd number: 4 2/10
30/36 is smaller than 42/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 10 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 36 × 5 = 180,
30/36 = 30 × 5/36 × 5 = 150/180 - Likewise, for the 2nd fraction, since 10 × 18 = 180,
42/10 = 42 × 18/10 × 18 = 756/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/180 < 756/180 or 30/36 < 42/10
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