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Answer
The simplified fraction for 7.6 is [tex]\frac{38}{5}[/tex].
Explanation
First, let's convert the decimal to a fraction. Then, we can simplify it.
Let's ignore the "7" in 7.6 for now and focus on .60
[tex]\frac{.60}{1}[/tex] = [tex]\frac{60}{100}[/tex]
This simplifies to: [tex]\frac{6}{10}[/tex]
Add the 7 back in to make it a mixed fraction: 7 [tex]\frac{6}{10}[/tex]
Next, convert the mixed number to an improper fraction.
10 × 7 = 70
70 + 6 = 76
7 [tex]\frac{6}{10}[/tex] = [tex]\frac{76}{10}[/tex]
Lastly, simplify the improper fraction by dividing it by a common factor of the numerator and the denominator, which, in this case, is 2.
[tex]\frac{76}{10}[/tex] = [tex]\frac{38}{5}[/tex]
