Add 10/45 and 60/64
10/45 + 60/64 is 167/144.
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,
10/45 = 10 × 64/45 × 64 = 640/2880 - Likewise, for the 2nd fraction, since 64 × 45 = 2880,
60/64 = 60 × 45/64 × 45 = 2700/2880 - Add the two like fractions:
640/2880 + 2700/2880 = 640 + 2700/2880 = 3340/2880 - 3340/2880 simplified gives 167/144
- So, 10/45 + 60/64 = 167/144
In mixed form: 123/144
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