Compare 9/30 and 36/63
9/30 is smaller than 36/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 63 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 30 × 21 = 630,
9/30 = 9 × 21/30 × 21 = 189/630 - Likewise, for the 2nd fraction, since 63 × 10 = 630,
36/63 = 36 × 10/63 × 10 = 360/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/630 < 360/630 or 9/30 < 36/63
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