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

Step 2: Let's simplify.

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