Compare 40/30 and 45/8
1st number: 1 10/30, 2nd number: 5 5/8
40/30 is smaller than 45/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 8 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
40/30 = 40 × 4/30 × 4 = 160/120 - Likewise, for the 2nd fraction, since 8 × 15 = 120,
45/8 = 45 × 15/8 × 15 = 675/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/120 < 675/120 or 40/30 < 45/8
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