Compare 4/6 and 21/56
4/6 is greater than 21/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 6 × 28 = 168,
4/6 = 4 × 28/6 × 28 = 112/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
21/56 = 21 × 3/56 × 3 = 63/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/168 > 63/168 or 4/6 > 21/56
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