Verified answer

.7 repeting is 7/9

is the 7 and 1 repeating?

(7/9)/5.2=(71/99)/x

solve for x

If just the 1

(7/9)/5.2= (64/9)/x

solve for x

.._

0.7 = 7 / 9

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5.2 = 5 + 0.2 = 5 + (2 / 10) = 5 + (1 / 5) = 5 1/5

You can also write this as a complex fraction.

5.2 = 5 + 0.2 = 5 + (2 / 10) = 5 + (1 / 5) = 5(5 / 5) + (1 / 5) = (25 / 5) + (1 / 5) = (25 + 1) / 5 = (26 / 5)

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It is not clear if just the 1 repeats or both the 7 and the 1 repeat.

If only the 1 repeats:

.._ ........... _

7.1 = 7 + 0.1 = 7 + (1 / 9) = 7 1/9

You can also write this as a complex fraction.

.._ ........... _

7.1 = 7 + 0.1 = 7 + (1 / 9) = 7(9 / 9) + (1 / 9) = (63 / 9) + (1 / 9) = (63 + 1) / 9 = (64 / 9)

If both the 7 and 1 repeat:

...__ ............ __

7.17 = 7 + 0.17 = 7 + (17 / 99) = 7 17/99

You can also write this as a complex fraction.

...__ ............ __

7.17 = 7 + 0.17 = 7 + (17 / 99) = 7(99 / 99) + (17 / 99) = (693 / 99) + (17 / 99) = (693 + 17) / 99 = (710 / 99)