Compare 15/30 and 40/63
15/30 is smaller than 40/63
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,
15/30 = 15 × 21/30 × 21 = 315/630 - Likewise, for the 2nd fraction, since 63 × 10 = 630,
40/63 = 40 × 10/63 × 10 = 400/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/630 < 400/630 or 15/30 < 40/63
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