Compare 40/42 and 10/90
40/42 is greater than 10/90
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,
40/42 = 40 × 15/42 × 15 = 600/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
10/90 = 10 × 7/90 × 7 = 70/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/630 > 70/630 or 40/42 > 10/90
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