Answer:
5.1666666666667
To solve ✅
We know that...
[tex]5\frac{1}{6} = 5 + \frac{1}{6}[/tex]
So that means
[tex]\frac{1}{6}[/tex] = 1 ÷ 6
And with that info, 5 1/6 becomes
[tex]5 + (\frac{1}{6})[/tex]
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Solve by improper fractions ➗
We know from the last problem that...
[tex]5\frac{1}{6} = 5 + \frac{1}{6}[/tex]
Converting 5 as a whole number to a fraction, it becomes
[tex]5 = \frac{5}{1}[/tex]
Now it becomes...
[tex]\frac{5}{1} + \frac{1}{6}[/tex]
Since the fractions will not change, first find the whole, then multiply your improper fraction by the whole, and add the part
[tex]\frac{6}{6}\\\\ = (\frac{5}{1} * \frac{6}{6} ) + \frac{1}{6}[/tex]
Converting to improper fraction
[tex]\frac{30}{6}\\\\= \frac{30}{6} + \frac{1}{6}(part) = \frac{31}{6}[/tex] never add the denominators when they are equal.
We know that...
[tex]\frac{31}{6}[/tex] = 31 ÷ 6
Whose quotient is equal to
[tex]5.166[/tex]
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