3 years ago

Express as fraction in simplest form

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

5 0

As a percent: 2.5%

As a decimal: .025

As a fraction: 25/1000

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When two fractions refer to the same whole explain why the fraction with a lesser denominator has larger pieces than the fractio

dexar [7]

Because there are less pieces the whole is split up into. For instance, if you have 1 bag of cookies, you would get more cookies per person if it was split between 2 people than if it was split between 10, because each person gets more of the whole, and there's less people to split up that whole.
since you have an equal amount of pieces from each, the whole that was split into the least pieces, or the number with the smaller denominator will be larger since the pieces will be larger

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4 years ago

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baherus [9]

I hope this helps you

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3 years ago

Perform each indicated operation

MissTica

Answer: $\frac{x+6}{x-4}$

Step-by-step explanation:

First you need know some general formuals of factorization such as

$x^3+y^3=(x+y)(x^2-xy+y^2)$ so you have $x^3+64=X^3+4^3=(x+4)(x^2-4x+4^2)$

And, $x^2-y^2=(x-y)(x+y)$ so you have $2x^2-32=2(x^2-16)=2(x^2-4^2)=2(x+4)(x-4)$

If you use them, then you can modify your equations such as

$\frac{x^3+64}{2x^2-32}$ ÷ $\frac{x^2-4x+16}{2x+12}$ = $\frac{(x+4)(x^2-4x+4^2)}{2(x+4)(x-4)}$ ÷ $\frac{x^2-4x+16}{2(x+6)}$ = $\frac{(x+4)(x^2-4x+4^2)}{2(x+4)(x-4)} . \frac{2(x+6)}{{x^2-4x+16}} = \frac{1}{x-4}.\frac{x+6}{1}=\frac{x+6}{x-4}$