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Maslowich
3 years ago
6

Which of these non-terminating decimals can be converted into a ratinaol number

Mathematics
1 answer:
madreJ [45]3 years ago
6 0

Answer

A. O.8743874374387438743....

Step by step explanation

Let's take a = O.8743874374387438743....

10a = 8.743874374387438743....

Similiarly,

10000a = 8743.874374387438743....

Since four decimal places are repeating.

Now subtract a from 10000a

10000 a - a = 8743.874374387438743....  - O.8743874374387438743....

9999 a = 8743

a = 8743/9999

8743/9999 = O.8743874374387438743....

That's it.

Hope you will understand the concept.

Thank you.

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Answer:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

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So now that we've converted 56 into a fraction, to work out the answer, we put the fraction 7/8 side by side with our new fraction, 56/1 so that we can multiply those two fractions.

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In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 392 and 8 is 8.

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The complete and simplified answer to the question what is 7/8 of 56 is:

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