Add 30/54 and 42/64
30/54 + 42/64 is 349/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 64 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 54 × 32 = 1728,
30/54 = 30 × 32/54 × 32 = 960/1728 - Likewise, for the 2nd fraction, since 64 × 27 = 1728,
42/64 = 42 × 27/64 × 27 = 1134/1728 - Add the two like fractions:
960/1728 + 1134/1728 = 960 + 1134/1728 = 2094/1728 - 2094/1728 simplified gives 349/288
- So, 30/54 + 42/64 = 349/288
In mixed form: 161/288
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