Compare 70/72 and 49/14
1st number: 70/72, 2nd number: 3 7/14
70/72 is smaller than 49/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 14 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
70/72 = 70 × 7/72 × 7 = 490/504 - Likewise, for the 2nd fraction, since 14 × 36 = 504,
49/14 = 49 × 36/14 × 36 = 1764/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/504 < 1764/504 or 70/72 < 49/14
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