Compare 42/10 and 36/8
1st number: 4 2/10, 2nd number: 4 4/8
42/10 is smaller than 36/8
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,
42/10 = 42 × 4/10 × 4 = 168/40 - Likewise, for the 2nd fraction, since 8 × 5 = 40,
36/8 = 36 × 5/8 × 5 = 180/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/40 < 180/40 or 42/10 < 36/8
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