Add 20/27 and 36/64
20/27 + 36/64 is 563/432.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 64 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 27 × 64 = 1728,
20/27 = 20 × 64/27 × 64 = 1280/1728 - Likewise, for the 2nd fraction, since 64 × 27 = 1728,
36/64 = 36 × 27/64 × 27 = 972/1728 - Add the two like fractions:
1280/1728 + 972/1728 = 1280 + 972/1728 = 2252/1728 - 2252/1728 simplified gives 563/432
- So, 20/27 + 36/64 = 563/432
In mixed form: 1131/432
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