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

hello hope all is well. can you help me with this please. I need to Explain the mistake-example-1
User Wilt
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1 Answer

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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.

User Uta
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