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oee [108]
4 years ago
6

Combine like terms to simplify the expression: {\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k} 5 2 ​ k− 5 3 ​ + 10 1 ​ kstart fraction,

2, divided by, 5, end fraction, k, minus, start fraction, 3, divided by, 5, end fraction, plus, start fraction, 1, divided by, 10, end fraction, k
Mathematics
1 answer:
Fed [463]4 years ago
7 0

Given:

The expression is

{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}

To find:

The simplified form of given expression.

Solution:

We have,

{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}

On combining like terms, we get

=\left(\dfrac{2}{5}k+\dfrac{1}{10}k\right)-\dfrac{3}{5}

Taking LCM in the parenthesis, we get

=\left(\dfrac{4k+k}{10}\right)-\dfrac{3}{5}

=\left(\dfrac{5k}{10}\right)-\dfrac{3}{5}

=\dfrac{k}{2}-\dfrac{3}{5}

Therefore, the simplified form of the given expression is \dfrac{k}{2}-\dfrac{3}{5}.

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