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3 years ago

Write the recurring decimal 0.18 as a fraction in its lowest terms

Mathematics

2 answers:

RideAnS [48]3 years ago

8 0

.18 as a fraction in its lowest term is 9/50

fgiga [73]3 years ago

5 0

Answer:

Hence, the answer is 2/11.

Step-by-step explanation:

<em><u>Let's begin by setting x equal to our repeating fraction. x= 0.18181818.</u></em>

<em><u>As a reduced (simplified) positive proper fraction 9/50 As a percentage 18%.</u></em>

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aleksandrvk [35]

<h2><u>PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>

Apply the means-extremes property of proportions: this allows you to cross multiply:

$\boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}$

$\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}$ ‏‏‎ ‏‏‎‎ $\mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}$ ‏‏‎‎

$\boxed{\mathsf{3x = 4(x - 6)}}$

Apply the distributive property:

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$\mathsf{3x - 3x + 24 = 4x - 3x}$

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$\large{\boxed{\mathsf{24 = x}}}$

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<h3><u>Answer</u>. The value of x = 24.</h3>

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