Add 35/40 and 9/14
35/40 + 9/14 is 85/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
35/40 = 35 × 7/40 × 7 = 245/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
9/14 = 9 × 20/14 × 20 = 180/280 - Add the two like fractions:
245/280 + 180/280 = 245 + 180/280 = 425/280 - 425/280 simplified gives 85/56
- So, 35/40 + 9/14 = 85/56
In mixed form: 129/56
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