Compare 10/32 and 40/5
1st number: 10/32, 2nd number: 8 0/5
10/32 is smaller than 40/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 5 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 32 × 5 = 160,
10/32 = 10 × 5/32 × 5 = 50/160 - Likewise, for the 2nd fraction, since 5 × 32 = 160,
40/5 = 40 × 32/5 × 32 = 1280/160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 50/160 < 1280/160 or 10/32 < 40/5
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