Solve each equation write answer on simplest form
1/4x = 6
2t = 4/7
Can you show me how to do didn't understand on class. Working on solving fraction equation. Multiply and divide
1/4x = 6
Divide both sides of the equation by 1/4.
x = 6 / (1/4)
When dividing fractions, invert the fraction and multiply.
x = 6 * (4/1)
x = 24
I'll be glad to check your answer for the other problem.
Sure! To solve a fraction equation, you'll need to perform some basic operations like multiplication and division. Let's go through each equation step by step:
1) 1/4x = 6
To solve for x, the first step is to isolate the variable by moving all terms not containing x to the other side of the equation. In this case, we want to get rid of the fraction, so we will multiply both sides of the equation by the reciprocal of 1/4, which is 4/1 or simply 4:
(4/1) * (1/4x) = (4/1) * 6
This simplifies to:
(4/4) * (1/x) = 24/1
1 * (1/x) = 24
Now, we have (1/x) = 24, which means x is the reciprocal of 24, which is 1/24.
Therefore, the solution to the equation 1/4x = 6 is x = 1/24.
2) 2t = 4/7
To solve for t, again, we want to isolate the variable. Since 2 is being multiplied by t, we can divide both sides of the equation by 2 to solve for t:
(2t) / 2 = (4/7) / 2
This simplifies to:
t = 2/7
Therefore, the solution to the equation 2t = 4/7 is t = 2/7.
Remember, in order to solve most equations, you'll need to perform the same operation on both sides of the equation to maintain equality.