Compare 16/30 and 42/63
16/30 is smaller than 42/63
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,
16/30 = 16 × 21/30 × 21 = 336/630 - Likewise, for the 2nd fraction, since 63 × 10 = 630,
42/63 = 42 × 10/63 × 10 = 420/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/630 < 420/630 or 16/30 < 42/63
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