Compare 30/50 and 30/32
30/50 is smaller than 30/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 32 is 800
Next, find the equivalent fraction of both fractional numbers with denominator 800 - For the 1st fraction, since 50 × 16 = 800,
30/50 = 30 × 16/50 × 16 = 480/800 - Likewise, for the 2nd fraction, since 32 × 25 = 800,
30/32 = 30 × 25/32 × 25 = 750/800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/800 < 750/800 or 30/50 < 30/32
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