Question

hello hope all is well. can you help me with this please. I need to Explain the mistake and correct it

Answer 1

Given the following equation:

$\text{ 2 }\frac{1}{5}x\text{ = 55}$

Let's determine the value of x.

Step 1: Let's first transform 2 1/5 into an improper fraction.

$\text{ 2 }\frac{1}{5}\text{ = }\frac{(2\text{ x 5) + 1}}{5}\text{ = }\frac{10\text{ + 1}}{5}\text{ = }\frac{11}{5}$

Step 2: Let's simplify.

$\text{ 2 }\frac{1}{5}x\text{ = 55 }\rightarrow\text{ }\frac{11}{5}x\text{ = 55}$$\frac{11}{5}x\text{ = 55}$$(\frac{11}{5}x)(5)\text{ = (55)}(5)$$\text{ 11x = }275$$\text{ }\frac{\text{11x}}{11}\text{ = }\frac{275}{11}$$\text{ x = }11$

Therefore, x = 11

Keep in mind that for an equation with a constant that is a mixed number. Always transform it first into an improper fraction and apply the inverse property in simplifying or determining the value of x.