Add 20/64 and 42/54
20/64 + 42/54 is 157/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 54 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 64 × 27 = 1728,
20/64 = 20 × 27/64 × 27 = 540/1728 - Likewise, for the 2nd fraction, since 54 × 32 = 1728,
42/54 = 42 × 32/54 × 32 = 1344/1728 - Add the two like fractions:
540/1728 + 1344/1728 = 540 + 1344/1728 = 1884/1728 - 1884/1728 simplified gives 157/144
- So, 20/64 + 42/54 = 157/144
In mixed form: 113/144
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