Solve the Equation: 10x = 6/11 and Find X

Question

Solve for X:

$10x=\frac{6}{11}$

00:00 Solve

00:03 We want to isolate the unknown X

00:08 If we have an unknown with coefficient A equal to fraction (C divided by B)

00:12 To isolate the unknown X, divide by coefficient A

00:16 We will use this formula in our exercise

00:24 Let's arrange the equation so that one side has only the unknown X

00:32 Let's factor 6 into 2 and 3

00:38 Let's factor 10 into 2 and 5

00:45 Let's reduce what we can

00:48 Let's calculate the denominator

00:52 And this is the solution to the question

To solve this problem, we need to isolate $x$ by performing the following steps:

Step 1: Start with the given equation $10x = \frac{6}{11}$ .
Step 2: Divide both sides of the equation by 10 to solve for $x$ . $x = \frac{\frac{6}{11}}{10}$
Step 3: Simplify the fraction on the right. Dividing a fraction by a whole number involves multiplying the denominator by that number: $x = \frac{6}{11 \times 10} = \frac{6}{110}$
Step 4: Reduce the fraction $\frac{6}{110}$ . The greatest common divisor of 6 and 110 is 2: $x = \frac{6 \div 2}{110 \div 2} = \frac{3}{55}$

Thus, the solution to the problem is $x = \frac{3}{55}$ .

$\frac{3}{55}$