Add 30/45 and 60/64
30/45 + 60/64 is 77/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 64 is 2880
Next, find the equivalent fraction of both fractional numbers with denominator 2880 - For the 1st fraction, since 45 × 64 = 2880,
30/45 = 30 × 64/45 × 64 = 1920/2880 - Likewise, for the 2nd fraction, since 64 × 45 = 2880,
60/64 = 60 × 45/64 × 45 = 2700/2880 - Add the two like fractions:
1920/2880 + 2700/2880 = 1920 + 2700/2880 = 4620/2880 - 4620/2880 simplified gives 77/48
- So, 30/45 + 60/64 = 77/48
In mixed form: 129/48
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