Question

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

Answer 1

Answer:

5.1666666666667

To solve ✅

We know that...

$5\frac{1}{6} = 5 + \frac{1}{6}$

So that means

$\frac{1}{6}$ = 1 ÷ 6

And with that info, 5 1/6 becomes

$5 + (\frac{1}{6})$

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Solve by improper fractions ➗

We know from the last problem that...

$5\frac{1}{6} = 5 + \frac{1}{6}$

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

$5 = \frac{5}{1}$

Now it becomes...

$\frac{5}{1} + \frac{1}{6}$

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

$\frac{6}{6}\\\\ = (\frac{5}{1} * \frac{6}{6} ) + \frac{1}{6}$

Converting to improper fraction

$\frac{30}{6}\\\\= \frac{30}{6} + \frac{1}{6}(part) = \frac{31}{6}$ never add the denominators when they are equal.

We know that...

$\frac{31}{6}$ = 31 ÷ 6

Whose quotient is equal to

$5.166$

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