Question

5 1/2 +1 3/10x=13 what does x equal

Answer 1

Answer:

$x=5\frac{10}{13}$

Explanation:

Given the equation

$5\frac{1}{2}+1\frac{3}{10}x=13$

Step 1: Change all the mixed fraction to improper fractions

$\implies\frac{11}{2}+\frac{13x}{10}=13$

Step 2: Find the lowest common multiple of the denominators (2 and 10)

The lowest common multiple = 10

Step 3: Multiply all through by 10.

$\begin{gathered} \implies\frac{11}{2}\times10+\frac{13x\times10}{10}=13\times10 \\ =55+13x=130 \end{gathered}$

Step 4: Apply the subtraction law of equality. (Subtract 55)

$\begin{gathered} 55-55+13x=130-55 \\ 13x=75 \end{gathered}$

Step 5: Apply the division law of equality. (Divide by 13)

$\begin{gathered} \frac{13x}{13}=\frac{75}{13} \\ x=5\frac{10}{13} \end{gathered}$