Compare 30/10 and 80/8
1st number: 3 0/10, 2nd number: 10 0/8
30/10 is smaller than 80/8
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,
30/10 = 30 × 4/10 × 4 = 120/40 - Likewise, for the 2nd fraction, since 8 × 5 = 40,
80/8 = 80 × 5/8 × 5 = 400/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/40 < 400/40 or 30/10 < 80/8
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