Compare 10/63 and 8/30
10/63 is smaller than 8/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 30 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 63 × 10 = 630,
10/63 = 10 × 10/63 × 10 = 100/630 - Likewise, for the 2nd fraction, since 30 × 21 = 630,
8/30 = 8 × 21/30 × 21 = 168/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/630 < 168/630 or 10/63 < 8/30
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