Compare 40/9 and 70/56
1st number: 4 4/9, 2nd number: 1 14/56
40/9 is greater than 70/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 9 × 56 = 504,
40/9 = 40 × 56/9 × 56 = 2240/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
70/56 = 70 × 9/56 × 9 = 630/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2240/504 > 630/504 or 40/9 > 70/56
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