Add 10/27 and 35/40
10/27 + 35/40 is 269/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
10/27 = 10 × 40/27 × 40 = 400/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
35/40 = 35 × 27/40 × 27 = 945/1080 - Add the two like fractions:
400/1080 + 945/1080 = 400 + 945/1080 = 1345/1080 - 1345/1080 simplified gives 269/216
- So, 10/27 + 35/40 = 269/216
In mixed form: 153/216
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