Compare 40/75 and 42/8
1st number: 40/75, 2nd number: 5 2/8
40/75 is smaller than 42/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 8 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Likewise, for the 2nd fraction, since 8 × 75 = 600,
42/8 = 42 × 75/8 × 75 = 3150/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/600 < 3150/600 or 40/75 < 42/8
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