Compare 3/10 and 40/63
3/10 is smaller than 40/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 63 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 10 × 63 = 630,
3/10 = 3 × 63/10 × 63 = 189/630 - 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
- 189/630 < 400/630 or 3/10 < 40/63
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