Compare 75/27 and 49/10
1st number: 2 21/27, 2nd number: 4 9/10
75/27 is smaller than 49/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 10 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 27 × 10 = 270,
75/27 = 75 × 10/27 × 10 = 750/270 - Likewise, for the 2nd fraction, since 10 × 27 = 270,
49/10 = 49 × 27/10 × 27 = 1323/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 750/270 < 1323/270 or 75/27 < 49/10
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