[tex]\frac{1}{10}, \frac{3}{10}, \frac{6}{10}[/tex]
Solution:
Given that,
We have to write 3 fractions, using 10 as the denominator, who's sum is 1
We know that, fraction is written as:
[tex]fraction = \frac{numerator}{denominator}[/tex]
We have to write 3 fractions with 10 as denominator
[tex]\frac{1}{10}\\\\\frac{3}{10}\\\\\frac{6}{10}[/tex]
Add these to check if its sum is 1
[tex]sum = \frac{1}{10} + \frac{3}{10} + \frac{6}{10}[/tex]
When denominators are same, we can add the numerators
[tex]sum = \frac{1+3+6}{10}\\\\sum = \frac{10}{10}\\\\sum = 1[/tex]
Thus the three fractions are:
[tex]\frac{1}{10}, \frac{3}{10}, \frac{6}{10}[/tex]