Add 42/64 and 21/54
42/64 + 21/54 is 301/288.
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,
42/64 = 42 × 27/64 × 27 = 1134/1728 - Likewise, for the 2nd fraction, since 54 × 32 = 1728,
21/54 = 21 × 32/54 × 32 = 672/1728 - Add the two like fractions:
1134/1728 + 672/1728 = 1134 + 672/1728 = 1806/1728 - 1806/1728 simplified gives 301/288
- So, 42/64 + 21/54 = 301/288
In mixed form: 113/288
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