What is the equivalent of 1/50: fraction , in decimal form?
We can determine the equivalent values of the fraction 1/50
in one simple way.
By dividing 1 and 50 to get the quotient of the digits
given.
<span><span>
1. </span>1 / 50 =
0.02</span>
Therefore, 0.02 is the decimal form of the given fraction
1/50 and is a rational number.
You're trying to find constants
such that
. Equivalently, you're looking for the least-square solution to the following matrix equation.
To solve
, multiply both sides by the transpose of
, which introduces an invertible square matrix on the LHS.
Computing this, you'd find that
which means the first choice is correct.
Hey!
You're right! This equation can definitely be solved by performing two operations on both sides. Let me show you how it's done.
First, let's write out our equation.
<span><em>Original Equation :</em>
</span>x + 53 = 15
Now that that's done, we'll be performing two operations on both sides. The operation we'll want to do is subtracting both sides of the equation by 53. We do this to get x on its own.
<em>Original Equation :</em>
x + 53 = 15
<em>New Equation {Added Subtract 53 to Both Sides} :</em>
x + 53 - 53 = 15 - 53
Now we have to solve the equation. Let's do the left side first.
<em>Left Side of the Equation :</em>
x + 53 - 53
<em>Left Side of the Equation {Solved} :</em>
x
Now, we'll solve the right side of the equation.
<em>Right Side of the Equation :</em>
15 - 53
<em>Right Side of the Equation {Solved} :</em>
-38
Now we can put both solutions to both sides of the equation together.
<em>New Equation :</em>
x = -38
Since this cannot be simplified any farther, this is our final answer. And that's it!
<em>So, now we know that in the equation x + 53 = 15,</em> x = -38
Hope this helps!
- Lindsey Frazier ♥
