Question

Express each repeating decimal as a fraction. 0.7, 0.42, and 0.16

Answer 1

these do not repeat. do you mean
.777...
?

Answer 2

these do not repeat. do you mean
.777...
?

Answer 3

otherwise
\[.7=\frac{7}{10}\]
whereas
\[.777...=\frac{7}{9}\]

Answer 4

0.42 repeating = 42/99?

Answer 5

and
\[.42=\frac{42}{100}=\frac{21}{50}\] whereas
\[.424242...=\frac{42}{99}=\frac{14}{33}\]

Answer 6

I dont know how to write it but there is a line over the last number in each

Answer 7

ok then answers are correct

Answer 8

\[\overline{.7}\]
means .7777...
that is the sevens repeat, and the fraction is
\[\frac{7}{9}\]

Answer 9

likewise
\[\overline{.42}\] means .424242... and the fraction is
\[\frac{42}{99}=\frac{14}{33}\]

Answer 10

and 0.16?

Answer 11

line over 6

Answer 12

0.161616..
= 16/99

0.16 = 16/100 = 4/25

Answer 13

if it means .166666... then different answer

Answer 14

\[.1\bar{6}\]?

Answer 15

yes but 0 before the point

Answer 16

0 is unimportant.

Answer 17

do this: put
\[x=0.1666...\]
\[10x=1.6666...\]
\[9x=10x-x=1.5\]
\[x=\frac{1.5}{9}=\frac{15}{90}=\frac{1}{6}\]

Answer 18

so the final answer is 1/6

Answer 19

?