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

Question

Solve for X:

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

Video Solution

Solution Steps

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 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

Answer

6 6