Write the repeating decimal 0.63333... as a fraction.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
Problem 39WE
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0.63333 as a fraction
Sabine could have entered 24 90, or an equivalent express
side and 0.26 from the other side.
x = 0.26, you can subtract x from one
equation, and then solve for x. Becaus
Subtract 0.26 from each side of the
has 1 repeating digit.
10r 2.6
10x-x 2.6- 0.26
9x 2.4
*-4
Write an equivalent fraction
so that the numerator and
denominator are integers.
24
90
such as 8 ÷30.
Try It!
Write the repeating decimal 0.63333... as a fraction.
Write Decimals wi
Repeating Digits a
EXAMPLE 3
Write 2.09 as a mixed number.
Let x 2.09.
The repeating decima
repeating digits, so m
side of the equation
100 x 100 2.09
%3D
100x-x 209.09 - 2.09
Transcribed Image Text:Sabine could have entered 24 90, or an equivalent express side and 0.26 from the other side. x = 0.26, you can subtract x from one equation, and then solve for x. Becaus Subtract 0.26 from each side of the has 1 repeating digit. 10r 2.6 10x-x 2.6- 0.26 9x 2.4 *-4 Write an equivalent fraction so that the numerator and denominator are integers. 24 90 such as 8 ÷30. Try It! Write the repeating decimal 0.63333... as a fraction. Write Decimals wi Repeating Digits a EXAMPLE 3 Write 2.09 as a mixed number. Let x 2.09. The repeating decima repeating digits, so m side of the equation 100 x 100 2.09 %3D 100x-x 209.09 - 2.09
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