Compare 36/10 and 40/8
1st number: 3 6/10, 2nd number: 5 0/8
36/10 is smaller than 40/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 8 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 10 × 4 = 40,
36/10 = 36 × 4/10 × 4 = 144/40 - Likewise, for the 2nd fraction, since 8 × 5 = 40,
40/8 = 40 × 5/8 × 5 = 200/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/40 < 200/40 or 36/10 < 40/8
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