3 years ago

Write the recurring decimals as fractions 0.15 and 0.369

Mathematics

1 answer:

e-lub [12.9K]3 years ago

8 0

Answer:

0.15 = 3/20. 0.369= 369/1000.

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$\left\{\begin{array}{ccc}2x+3y=17\\x+5y=19&|\text{multiply both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+3y=17\\-2x-10y=-38\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad-7y=-21\qquad\text{divide both sides by (-7)}\\.\qquad\qquad \boxed{y=3}\\\\\\\text{Substitute the value of y to the second equation}\\\\x+5(3)=19\\\\x=15=19\qquad\text{subtract 15 from both sides}\\\\\boxed{x=4}\\\\Answer:\ x=4\ and\ y=3.$

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Write the recurring decimals as fractions 0.15 and 0.369​

Write the recurring decimals as fractions 0.15 and 0.369