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3 years ago

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-2.35 as a fraction or mixed number in simplest form

2 answers:

trasher [3.6K]3 years ago

8 0

To convert a mixed number to its lowest form, one needs to change the mixed number into an improper fraction and then reduce this improper fraction to the lowest possible fraction. To do these conversions, one needs to perform a few calculations. One also has to understand the definitions of "mixed number," "improper fraction" and "proper fraction."

Allisa [31]3 years ago

6 0

2.35 as a mixed number in simplest form would be 2 7/20

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mixer [17]

Answer:

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Step-by-step explanation:

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3 years ago

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Eva8 [605]

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3 years ago

Help please! I already tried doing this but I didn't get the answer right, and I don't know where I went wrong

Sladkaya [172]

I think factorizing everything you can first will make the simplification ... well, simpler.

$\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \dfrac{x(x-3)}{(x+4)(x+9)} \div \dfrac{x(x+7)}{(x+7)(x+9)}$

The factors of $x+7$ in the second rational expression cancel:

$\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \dfrac{x(x-3)}{(x+4)(x+9)} \div \dfrac{x}{x+9}$

Now, use the property

$\dfrac ab \div \dfrac cd = \dfrac ab \times \dfrac dc$

(this is the property of multiplication having to do with multiplicative inverse, or "inverting the divisor" as the question calls it) to write

$\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \dfrac{x(x-3)}{(x+4)(x+9)} \times \dfrac{x+9}x$

and we see some more cancellation, namely of the factors of $x$ and $x+9$ .

$\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \boxed{\dfrac{x-3}{x+4}}$

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valkas [14]

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Explanation

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4 years ago