Compare 10/42 and 42/90
10/42 is smaller than 42/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 90 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
10/42 = 10 × 15/42 × 15 = 150/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
42/90 = 42 × 7/90 × 7 = 294/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/630 < 294/630 or 10/42 < 42/90
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