Question

Combine like terms to simplify the expression: 2/5k-3/5+1/10k

Answer 1

SOLUTION

TO SIMPLIFY

The given expression (Combining like terms)

$\displaystyle \sf{ \frac{2}{5k} - \frac{3}{5} + \frac{1}{10k} }$

CONCEPT TO BE IMPLEMENTED

Like terms are those terms that have the same variables with same exponents ( the coefficients is different )

EVALUATION

Here the given expression is

$\displaystyle \sf{ \frac{2}{5k} - \frac{3}{5} + \frac{1}{10k} }$

So the like terms are

$\displaystyle \sf{ \frac{2}{5k} \: \: and \: \: \frac{1}{10k} }$

Hence the simplification is as below :

$\displaystyle \sf{ \frac{2}{5k} - \frac{3}{5} + \frac{1}{10k} }$

$= \displaystyle \sf{ \frac{2}{5k}+ \frac{1}{10k} - \frac{3}{5} }$

$= \displaystyle \sf{ \frac{4 + 1}{10k} - \frac{3}{5} }$

$= \displaystyle \sf{ \frac{5}{10k} - \frac{3}{5} }$

$= \displaystyle \sf{ \frac{1}{2k} - \frac{3}{5} }$

$= \displaystyle \sf{ \frac{1}{2k} - \frac{3}{5} }$

It can be further simplified

$\displaystyle \sf{ \frac{2}{5k} - \frac{3}{5} + \frac{1}{10k} }$

$= \displaystyle \sf{ \frac{1}{2k} - \frac{3}{5} }$

$= \displaystyle \sf{ \frac{5 - 6k}{10k} }$

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Answer 2

Answer:

SOLUTION

TO SIMPLIFY

The given expression (Combining like terms)

$\displaystyle \sf{ \frac{2}{5k} - \frac{3}{5} + \frac{1}{10k} }$5k2−53+10k1

CONCEPT TO BE IMPLEMENTED

Like terms are those terms that have the same variables with same exponents ( the coefficients is different )

EVALUATION

Here the given expression is

$\displaystyle \sf{ \frac{2}{5k} - \frac{3}{5} + \frac{1}{10k} }$5k2−53+10k1

So the like terms are

$\displaystyle \sf{ \frac{2}{5k} \: \: and \: \: \frac{1}{10k} }$

Hence the simplification is as below :

$\displaystyle \sf{ \frac{2}{5k} - \frac{3}{5} + \frac{1}{10k} }$

= $\displaystyle \sf{ \frac{2}{5k}+ \frac{1}{10k} - \frac{3}{5} }$

= $\displaystyle \sf{ \frac{4 + 1}{10k} - \frac{3}{5} }$=10k4+1−53

= $\displaystyle \sf{ \frac{5}{10k} - \frac{3}{5} }$=10k5−53

= $\displaystyle \sf{ \frac{1}{2k} - \frac{3}{5} }$=2k1−53

= $\displaystyle \sf{ \frac{1}{2k} - \frac{3}{5} }$=2k1−53

It can be further simplified

$\displaystyle \sf{ \frac{2}{5k} - \frac{3}{5} + \frac{1}{10k} }$5k2−53+10k1

= $\displaystyle \sf{ \frac{1}{2k} - \frac{3}{5} }$=2k1−53

= $\displaystyle \sf{ \frac{5 - 6k}{10k} }$=10k5−6k

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1. 561234 is a multiple of 3.  true or false

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2. Find the value of the expression

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