Compare 40/16 and 75/10
1st number: 2 8/16, 2nd number: 7 5/10
40/16 is smaller than 75/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 10 is 80
Next, find the equivalent fraction of both fractional numbers with denominator 80 - For the 1st fraction, since 16 × 5 = 80,
40/16 = 40 × 5/16 × 5 = 200/80 - Likewise, for the 2nd fraction, since 10 × 8 = 80,
75/10 = 75 × 8/10 × 8 = 600/80 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/80 < 600/80 or 40/16 < 75/10
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