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3 years ago

In your own words, what are the steps to converting decimals to fractions

Mathematics

1 answer:

Elis [28]3 years ago

5 0

Answer:

First

Step-by-step explanation:

You write down the decimal fraction like say .75 you put .75/1. Then you multiply both sides by 100 so .75/1 would turn into 75/100. Then all you have to do is simplify the fraction.

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14 out of the 25 students passed the quiz. What percent of students passed the quiz ?

Mnenie [13.5K]

Answer:

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

14/25

The number above the bar is the numerator: 14

The number below the bar is the denominator: 25

Divide the numerator by the denominator to get fraction's value:

Val = 14 ÷ 25

Hoped it helped

7 0

3 years ago

Do the ratios 4/5 and 12/20 form a proportion?

yKpoI14uk [10]

Answer:

No. They are not in proportion

Step-by-step explanation:

$\sf \dfrac{4}{5} \ \text{is in the simplest form}$

$\sf \text{Simplest form of $\dfrac{12}{20}$} = \dfrac{12 \div 4}{20 \div 4}=\dfrac{3}{5}$

So, they are not in proportion

7 0

2 years ago

2/3 / (-9/4)<br><br> 2/3 divided by (-9/4)

Bezzdna [24]

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$\frac{2}{3} \div ( - \frac{9}{4} ) = \\$

$\frac{2}{3} \times( - \frac{4}{9}) = \\$

$- \frac{2 \times 4}{3 \times 9} = - \frac{8}{27} = - ({ \frac{2}{3} })^{3} \\$

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8 0

3 years ago

Two poles are connected by a wire that is also connected to the ground. The first pole is 18 ft tall and the second pole is 24 f

9966 [12]

Answer:

72 feet from the shorter pole

Step-by-step explanation:

The anchor point that minimizes the total wire length is one that divides the distance between the poles in the same proportion as the pole heights. That is, the two created triangles will be similar.

The shorter pole height as a fraction of the total pole height is ...

18/(18+24) = 3/7

so the anchor distance from the shorter pole as a fraction of the total distance between poles will be the same:

d/168 = 3/7

d = 168·(3/7) = 72

The wire should be anchored 72 feet from the 18 ft pole.

_____

<em>Comment on the problem</em>

This is equivalent to asking, "where do I place a mirror on the ground so I can see the top of the other pole by looking in the mirror from the top of one pole?" Such a question is answered by reflecting one pole across the plane of the ground and drawing a straight line from its image location to the top of the other pole. Where the line intersects the plane of the ground is where the mirror (or anchor point) should be placed. The "similar triangle" description above is essentially the same approach.

Alternatively, you can write an equation for the length (L) of the wire as a function of the location of the anchor point:

L = √(18²+x²) + √(24² +(168-x)²)

and then differentiate with respect to x and find the value that makes the derivative zero. That seems much more complicated and error-prone, but it gives the same answer.