Compare 40/32 and 75/30
1st number: 1 8/32, 2nd number: 2 15/30
40/32 is smaller than 75/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 30 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 32 × 15 = 480,
40/32 = 40 × 15/32 × 15 = 600/480 - Likewise, for the 2nd fraction, since 30 × 16 = 480,
75/30 = 75 × 16/30 × 16 = 1200/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/480 < 1200/480 or 40/32 < 75/30
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