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3 years ago

Write 3.088 as a mixed number and improper fraction

Mathematics

1 answer:

mixas84 [53]3 years ago

8 0

Answer:

Mixed number-3 and 88/1000 which is simplified to 3 and 11/125

Improper fraction- 386/125

Step-by-step explanation:

<u>Mixed Number</u>

3.088 is read as Three and eighty-eight thousandths. As a fraction we write this as 3 and 88/1000. However, 88/1000 can be simplified. The greatest common factor that will go into 88 and 1000 is 8, so I divide 8 into 88 and get 11, then I divide 8 into 1000 and get 125. Simplified my answer is 3 and 11/125.

<u>Improper Fraction</u>

If I have 3 and 11/125, I will change it to an improper fraction by first multiplying the whole number 3 by the denominator 125. This gives me 375, which I add to the numerator 11 and that gives me 386. I will keep my denominator so my improper fraction will be 386/125.

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pashok25 [27]

<h3>Further explanation</h3>

Let's recall following formula about Exponents and Surds:

$\boxed { \sqrt { x } = x ^ { \frac{1}{2} } }$

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$\boxed {a ^ b \div a ^ c = a ^ { b - c } }$

$\boxed {\log a + \log b = \log (a \times b) }$

$\boxed {\log a - \log b = \log (a \div b) }$

<em>Let us tackle the problem!</em>

$\texttt{ }$

$\log \frac{\sqrt{3}(2-x)}{(3x)} = \log \sqrt{3} + \log (2-x) - \log (3x)$

$\log \frac{\sqrt{3}(2-x)}{(3x)} = \log 3^{1/2} + \log (2-x) - (\log 3 + \log x)$

$\log \frac{\sqrt{3}(2-x)}{(3x)} = \frac{1}{2} \log 3 + \log (2-x) - \log 3 - \log x$

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$\texttt{ }$

<h3>Learn more</h3>

Coefficient of A Square Root : brainly.com/question/11337634
The Order of Operations : brainly.com/question/10821615
Write 100,000 Using Exponents : brainly.com/question/2032116

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Exponents and Surds

Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.

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