Question

Write 5.2 as a mixed and improper faction

Answer 1

Hello!

First, let's convert 5.2 into a fraction:

`\bf{5\displaystyle(2)/(10) }`

Simplify:

`\bold{5\displaystyle(1)/(5)}`

We turned this number into a mixed number.

That's why it's mixed - we have a whole number and a fraction.

Now, convert the mixed number into an improper fraction.

Step 1: Multiply the whole number times the denominator.

5×5=25

Step 2: Add the numerator.

25+1=26

The denominator stays the same.

Therefore, the answer is

`\bold{\displaystyle(26)/(5)}`

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning :-)

Answer 2

Mixed Fraction:
`5(1)/(5)`

Improper Fraction:
`(26)/(5)`

Explanation:

`\mathrm{Rewrite\:as}`

`=5+0.2`

`\mathrm{Convert\;0.2\;to\;a\;fraction}:(1)/(5)`

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

`=5(1)/(5)`

`\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a(b)/(c)=(a\cdot \:c+b)/(c)`

`5(1)/(5)=(5\cdot 5+1)/(5)=(26)/(5)`

`=(26)/(5)`

~lenvy~