Solve the Fraction Equation: Finding X in 1/8x = 3/4

Solve for X:

18x=34 \frac{1}{8}x=\frac{3}{4}

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Step-by-step video solution

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00:00 Solve
00:07 Chapter Title
00:10 Let's arrange the equation so that one side has only the unknown X
00:21 Let's simplify what we can
00:30 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve for X:

18x=34 \frac{1}{8}x=\frac{3}{4}

2

Step-by-step solution

We use the formula:

abx=cd \frac{a}{b}x=\frac{c}{d}

x=bcad x=\frac{bc}{ad}

We multiply the numerator by X and write the exercise as follows:

x8=34 \frac{x}{8}=\frac{3}{4}

We multiply both sides by 8 to eliminate the fraction's denominator:

8×x8=34×8 8\times\frac{x}{8}=\frac{3}{4}\times8

On the left side, it seems that the 8 is reduced and the right section is multiplied:

x=244=6 x=\frac{24}{4}=6

3

Final Answer

6 6

Practice Quiz

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Solve for X:

\( 5x=25 \)

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