Question

Write 5 1/6 as a decimal. Show your long division work

Answer 1

5.1666666666667

To solve ✅

We know that...

`5(1)/(6) = 5 + (1)/(6)`

So that means

`(1)/(6)` = 1 ÷ 6

And with that info, 5 1/6 becomes

`5 + ((1)/(6))`

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Solve by improper fractions ➗

We know from the last problem that...

`5(1)/(6) = 5 + (1)/(6)`

Converting 5 as a whole number to a fraction, it becomes

`5 = (5)/(1)`

Now it becomes...

`(5)/(1) + (1)/(6)`

Since the fractions will not change, first find the whole, then multiply your improper fraction by the whole, and add the part

`(6)/(6)\\\\ = ((5)/(1) * (6)/(6) ) + (1)/(6)`

Converting to improper fraction

`(30)/(6)\\\\= (30)/(6) + (1)/(6)(part) = (31)/(6)` never add the denominators when they are equal.

We know that...

`(31)/(6)` = 31 ÷ 6

Whose quotient is equal to

`5.166`

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