# To calculate: The solution of the equation 0.36u+2.55=0.41u+6.8 by clearing the decimals.

Decimals
To calculate:
The solution of the equation $$0.36u+2.55=0.41u+6.8$$ by clearing the decimals.

2021-06-13
Step 1
The equation is $$0.36u+2.55=0.41u+6.8$$
Consider the equation,
$$0.36u+2.55=0.41u+6.8$$
In order to find the solution follow the steps given below:
First find the least common denominator of all the fractions.
Then, multiply both sides of the equation by the least common denominator.
Then, use Distributive Property which states that for any real numbers a, b and c,
$$4(b+c)=ab+ac$$
Then simplify.
Step 2
The equation can be written as,
$$\frac{36}{100}u+\frac{255}{100}=\frac{41}{100}+\frac{68}{10}$$
The least common denominator is 100.
So,
$$100(0.36u+2.55)=100(0.41u+6.8)$$
$$36u+255=41u+680$$
$$36u+255-41u-255=41u+680-41u-255$$
$$-5u=425$$
Solve further to get,
$$\frac{-5u}{-5}=\frac{425}{-5}$$
$$u=-85$$
Hence, $$u=-85$$ is the solution of $$0.36u+2.55=0.41u+6.8$$