Add 30/84 and 45/64
30/84 + 45/64 is 475/448.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 64 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 84 × 16 = 1344,
30/84 = 30 × 16/84 × 16 = 480/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
45/64 = 45 × 21/64 × 21 = 945/1344 - Add the two like fractions:
480/1344 + 945/1344 = 480 + 945/1344 = 1425/1344 - 1425/1344 simplified gives 475/448
- So, 30/84 + 45/64 = 475/448
In mixed form: 127/448
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