Answer: Our required mixed number is [tex]3\dfrac{7}{9}[/tex]
Step-by-step explanation:
Since we have given that
[tex]x=3.\bar{7}[/tex]
We need to rewrite it in a mixed number.
Since x = 3.7777777..........--------(1)
Multiplying by 10 on both the sides, we get that
10x=37.777777.............-------------(2)
Now, subtract (2) - (1), we get that
[tex]10x-x=37.7777-3.7777\\\\9x=34\\\\x=\dfrac{34}{9}[/tex]
So, we need to write in mixed number that is given by
[tex]\dfrac{34}{9}=3\dfrac{7}{9}[/tex]
Hence, our required mixed number is [tex]3\dfrac{7}{9}[/tex]
We have that the mixed number of 3.7 is mathematically given as
[tex]3.7=\frac{37}{10}[/tex]
From the question we are given:
3.7 decimal
Mixed number
Mixed number this is a number that has is representation in the form of a whole number and a fraction
Generally, the expression of 3.7 as a fraction is is mathematically given by
[tex]3.7=\frac{37}{10}[/tex]
Therefore
The mixed number is
[tex]3.7=3\frac{7}{10}[/tex]
in conclusion
The mixed number of 3.7 is mathematically given as
[tex]3.7=\frac{37}{10}[/tex]
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