Compare 10/32 and 30/36
10/32 is smaller than 30/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 36 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 32 × 9 = 288,
10/32 = 10 × 9/32 × 9 = 90/288 - Likewise, for the 2nd fraction, since 36 × 8 = 288,
30/36 = 30 × 8/36 × 8 = 240/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/288 < 240/288 or 10/32 < 30/36
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