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madreJ [45]
3 years ago
9

Convert 0.7 to a fraction in simplified form

Mathematics
1 answer:
Trava [24]3 years ago
4 0
0.7 = 7/10

One digit after the decimal point is the tens place

0.7 also equals 70/100, which can be simplified to 7/10, but 7/10 cannot be simplified
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\bf 3.8888888\overline{8}\\\\
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x=3.8888888\overline{8}\qquad thus\qquad 
\begin{array}{llcll}
10x&=&38.888888\overline{8}\\
&&\downarrow \\
&&35+3.8888888\overline{8}\\
&&\downarrow \\
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\end{array}
\\\\\\
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the idea being, you multiply the "x" by some power of 10 that moves the repeating part to the left of the decimal point and the split it like above.
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