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# Decimals

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What is $0.4\overline{8} + 0.3\overline{7}$? Express your answer as a common fraction in lowest terms.

Jan 12, 2022

#1
+13900
+1

$$What\ is\ 0.4\overline{8} + 0.3\overline{7}?$$

Hello Guest!

$$0.4\overline{8} + 0.3\overline{7}=0.8\overline 6$$

$$0.86666\overline 6$$   =  x

-$$\underline{0.66666\overline 6}$$    = 2/3

$$0.2$$                = 1/5

$$x-\frac{2}{3}=\frac{1}{5}\\ x=\frac{1}{5}+\frac{2}{3}=\frac{3+2\cdot 5}{15}\\ x=\frac{13}{15}$$

$$0.4\overline{8} + 0.3\overline{7}=\dfrac{13}{15}$$

!

Jan 12, 2022