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Marina CMI [18]
1 year ago
6

Convert each fractions to a decimal by dividing. Tell if it terminating or repeating.

Mathematics
1 answer:
lbvjy [14]1 year ago
7 0

Given

part a

Convert each fraction to a decimal by dividing. Tell if it terminating or repeating.

\frac{3}{8}=0.375

It is terminate

Part b

\frac{7}{9}=0.777777777\ldots

It is repeating

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Hi! I'm happy to help!

To first solve this, we need to make those mixed numbers improper fractions.

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Now, we turn 1 3/7 into an improper fraction. We turn 1 into sevenths (multiply 1 by 7) then add the other 3 sevenths, giving you 10/7.

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From here, we need to turn this problem into a multiplication problem in order to solve. Since multiplication is the opposite of division, we need to get the opposite of something, so we use our second fraction and flip it.

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Now, we multiply the top by the top, and the bottom by the bottom. (any positive multiplied by a negative gives a negative)

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<u>Since we cannot simplify, our final answer is -63/20.</u>

I hope this was helpful, keep learning! :D

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