Compare 30/90 and 8/14
30/90 is smaller than 8/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 14 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 90 × 7 = 630,
30/90 = 30 × 7/90 × 7 = 210/630 - Likewise, for the 2nd fraction, since 14 × 45 = 630,
8/14 = 8 × 45/14 × 45 = 360/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/630 < 360/630 or 30/90 < 8/14
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