Add 40/9 and 70/56
1st number: 4 4/9, 2nd number: 1 14/56
40/9 + 70/56 is 205/36.
Steps for adding 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 - Add the two like fractions:
2240/504 + 630/504 = 2240 + 630/504 = 2870/504 - 2870/504 simplified gives 205/36
- So, 40/9 + 70/56 = 205/36
In mixed form: 525/36
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