Compare 30/48 and 56/63
30/48 is smaller than 56/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 63 is 1008
Next, find the equivalent fraction of both fractional numbers with denominator 1008 - For the 1st fraction, since 48 × 21 = 1008,
30/48 = 30 × 21/48 × 21 = 630/1008 - Likewise, for the 2nd fraction, since 63 × 16 = 1008,
56/63 = 56 × 16/63 × 16 = 896/1008 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 630/1008 < 896/1008 or 30/48 < 56/63
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