$x=0.1\overline{7}\\\\10x=1.7\overline{7}\qquad\text{multiply by 10}\\\\10x-x=1.7\overline{7}-0.1\overline{7}=1.6\\\\x=\dfrac{1.6}{9}=\dfrac{8}{45}\qquad\text{divide by 9; put in lowest terms}$

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When in doubt, you can use your calculator to see which fraction gives you 0.1777777778.

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We multiplied by 10^1 above, because there is 1 repeating digit. The power of 10 we use matches the number of repeating digits.

8 0

3 years ago

mark has 312 books in his bookcases she has 11 as many fiction books as nonfiction books how many fiction books does mark have?

belka [17]

11 as many fiction books as non fiction.

Fiction books F, Non Fiction NF

F: NF = 11 : 1

Total ratio 11+ 1 = 12.

Fraction of Fiction books F, = 11/12

Total books = 312.

Fiction books = 11/12 * 312 = 286

Fiction books = 286

7 0

3 years ago

Read 2 more answers

Find the midpoint of the segment between the points (8,-10) and (-10,-8)

Delvig [45]

Answer:

(-1, -9)

Step-by-step explanation:

Recall that for 2 points (x1, y1) and (x2,y2)

the midpoints are given by

x ordinate = $\frac{x1+x2}{2}$