Compare 70/27 and 45/7
1st number: 2 16/27, 2nd number: 6 3/7
70/27 is smaller than 45/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
70/27 = 70 × 7/27 × 7 = 490/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
45/7 = 45 × 27/7 × 27 = 1215/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/189 < 1215/189 or 70/27 < 45/7
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