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kherson [118]
3 years ago
9

Convert 13/8 to a mixed number

Mathematics
2 answers:
Effectus [21]3 years ago
7 0
Given:
13/8

First you have to see how many times 8 can go into the number 13. If you look, 8 can only go into 13 one time, leaving 5 left over.
13-8 = 5
1 with 5 left over
(Rather than writing 8/8, you must simplify to 1 to make it less redundant)

Since there is 5 left over from 8, you would then place it into the numerator place to get:
1 5/8

I hope this helps!
vivado [14]3 years ago
7 0
1whole and 5/13 and it can't be simplified
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=======================================================

Explanation:

0.\overline{5} means that the 5's go on forever because of that horizontal bar over top. So we can write it as 0.\overline{5} = 0.55555\ldots

The three dots indicate it goes on forever following that pattern.

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Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.

After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.

Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.

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