Compare 7/27 and 24/48
7/27 is smaller than 24/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 48 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 27 × 16 = 432,
7/27 = 7 × 16/27 × 16 = 112/432 - Likewise, for the 2nd fraction, since 48 × 9 = 432,
24/48 = 24 × 9/48 × 9 = 216/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/432 < 216/432 or 7/27 < 24/48
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