Answer:
1/12
Step-by-step explanation:
1. He spent [tex]\frac{2}{3}[/tex] of his salary on his family.
2. He spent [tex]\frac{1}{4}[/tex] of his salary on himself.
First, let's calculate the total fraction of the salary he spent:
[tex]\text{Total spent} = \frac{2}{3} + \frac{1}{4}[/tex]
To add these fractions, we need a common denominator. The least common multiple of 3 and 4 is 12.
Let's convert each fraction to have a denominator of 12:
[tex]\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \\\\ \frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}[/tex]
Now, add these fractions:
[tex]\frac{8}{12} + \frac{3}{12} = \frac{11}{12}[/tex]
So, he spent [tex]\frac{11}{12}[/tex] of his salary.
The fraction of his salary that he saved is:
[tex]1 - \frac{11}{12} = \frac{12}{12} - \frac{11}{12} = \frac{1}{12}[/tex]
