Add 10/42 and 64/80
10/42 + 64/80 is 109/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 80 is 1680
Next, find the equivalent fraction of both fractional numbers with denominator 1680 - For the 1st fraction, since 42 × 40 = 1680,
10/42 = 10 × 40/42 × 40 = 400/1680 - Likewise, for the 2nd fraction, since 80 × 21 = 1680,
64/80 = 64 × 21/80 × 21 = 1344/1680 - Add the two like fractions:
400/1680 + 1344/1680 = 400 + 1344/1680 = 1744/1680 - 1744/1680 simplified gives 109/105
- So, 10/42 + 64/80 = 109/105
In mixed form: 14/105
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