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2 years ago

How you would convert the repeating, nonterminating decimal to a fraction? Explain the process as you solve the problem.

Mathematics

2 answers:

user100 [1]2 years ago

6 0

The conversion of repeating, nonterminating decimal 0.1515... into a fraction is 15/99.

<h3>What is a fraction?</h3>

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

Given the decimal,

0.1515,,,

Let's assume it is equal to x

x = 0.1515...

Multiply it by 100

100x = 15.151515..

Subtract both equations,

100x - x = 15.1515.. - 0.1515..

99x = 15

x = 15/99

Hence "The conversion of repeating, nonterminating decimal 0.1515... into a fraction is 15/99".

For more about fractions,

brainly.com/question/10354322

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saul85 [17]2 years ago

3 0

Answer:

15/99

Step-by-step explanation:

if N=0.1515…

so 100N=15.15…

100N-N=15

then:99N=15

so N=15/99

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The third side is 8

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

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Subtract 225 from each side

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Take the square root of each side

sqrt(a^2) = sqrt(64)

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3 years ago

The planning rules for a housing development state that 1/3 of the houses should have three bedroom, 3/8 should have four bedroo

Pachacha [2.7K]

Answer: a) 1/4; b) 96.

Step-by-step explanation:

a) what fraction of the houses have two bedroom?

$1-\bigg (\dfrac{1}{3} +\dfrac{3}{8} +\dfrac{1}{24} \bigg)=\\\\=1-\bigg (\dfrac{8}{24} +\dfrac{9}{24} +\dfrac{1}{24} \bigg)\\\\=1-\dfrac{18}{24} \\\\=\dfrac{24}{24} -\dfrac{18}{24}= \dfrac{6}{24}=\dfrac{1}{4}$