Question

24/55 simplfied

Answer 1

To simplify the fraction \( \frac{24}{55} \), we need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (55).

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
The factors of 55 are: 1, 5, 11, 55.

The only common factor is 1, which means that \( 24 \) and \( 55 \) have no common divisors other than 1. Therefore, \( \frac{24}{55} \) is already in its simplest form.

So, \( \frac{24}{55} \) simplified is still \( \frac{24}{55} \).

Answer 2

Solve for x in the equation 8/11(x+4/5)=24/55.

i got -1/5 am i correct

Answer 3

Let’s solve the equation step by step:

Given the equation:

\[
\frac{8}{11} \left( x + \frac{4}{5} \right) = \frac{24}{55}
\]

**Step 1: Eliminate the fraction on the left side.**
Multiply both sides by \( 11 \) to get rid of the \( \frac{8}{11} \):

\[
8 \left( x + \frac{4}{5} \right) = 11 \cdot \frac{24}{55}
\]

**Step 2: Simplify the right side:**
Calculating \( 11 \cdot \frac{24}{55} \):

\[
\frac{11 \cdot 24}{55} = \frac{24}{5}
\]

So the equation now is:

\[
8 \left( x + \frac{4}{5} \right) = \frac{24}{5}
\]

**Step 3: Divide both sides by 8:**

\[
x + \frac{4}{5} = \frac{24}{5} \div 8 = \frac{24}{5} \cdot \frac{1}{8} = \frac{24}{40} = \frac{3}{5}
\]

**Step 4: Subtract \( \frac{4}{5} \) from both sides:**

\[
x = \frac{3}{5} - \frac{4}{5} = \frac{3 - 4}{5} = \frac{-1}{5}
\]

So, \( x = -\frac{1}{5} \).

You are correct! The solution is \( x = -\frac{1}{5} \).