Mathematics: If the repeating decimal 0.23737 is written as a fraction in lowest terms, what is the sum of the numerator and the denominator?

If the repeating decimal 0.23737 is written as a - id0237371822027, yclark98563p5z2gt

vliu470

31.12.2021

Let $x=0.23737\ldots=0.2\overline{37}$ . Then

$10x=2.\overline{37}$

$100x=237.\overline{37}$

$\implies100x-10x=237.\overline{37}-2.\overline{37}$

$\implies90x=235$

$\implies x=\dfrac{235}{90}=\dfrac{47}{18}$

and the sum of the numerator and denominator is 65.

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Cutiepie55561

01.05.2023

Scottie = 30

Top of the lighthouse = 45 (30+15)

The boat = 0

The fish = -10

10 + 30 = 40

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