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-0.38 (8 repeating) written as a fraction is _____.

User Yuda
by
4.3k points

2 Answers

4 votes

Answer:


(7)/(18)

Explanation:

We first let 0.38 (8 being repeated) be T.

Since z is recurring in 1 decimal places, we multiply it by 10. 10z = 3.88

Next, we subtract them. 10 r T 3.88 0.38 9x 3.5

Lastly, we divide both sides by 9 to get IC as a fraction. 3.5 T 9 35 90 7 18

-0.38 (8 repeating) written as a fraction is _____.-example-1
User Gerzie
by
4.2k points
3 votes

Answer:⁷/18

Step-by-step explanation

Make the repeating number as x

Since x is repeated in one decimal place multiple it by 10

10x=3.888

Next we subtract them

10x-1x=9x

0.38-3.88=3.5

9x=3.5

We divide both sides by 9

9x÷9=3.5÷9

X=⁷/18

Answer =⁷/18

Hope I was of help

User Dleep
by
4.7k points