Compare 40/42 and 75/10
1st number: 40/42, 2nd number: 7 5/10
40/42 is smaller than 75/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 10 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Likewise, for the 2nd fraction, since 10 × 21 = 210,
75/10 = 75 × 21/10 × 21 = 1575/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 200/210 < 1575/210 or 40/42 < 75/10
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