Certainly! Let's solve the given expression step-by-step.
We start with the expression:
[tex]\[ 10 - 5 \frac{2}{3} \][/tex]
First, we focus on the fractional part:
[tex]\[ 5 \times \frac{2}{3} \][/tex]
To calculate this, we multiply 5 by [tex]\(\frac{2}{3}\)[/tex]:
[tex]\[ 5 \times \frac{2}{3} = \frac{5 \times 2}{3} = \frac{10}{3} \][/tex]
Next, we convert [tex]\(\frac{10}{3}\)[/tex] to a decimal by performing the division [tex]\(10 \div 3\)[/tex]:
[tex]\[ \frac{10}{3} \approx 3.333333333333333 \][/tex]
Now, we substitute this value back into our original expression:
[tex]\[ 10 - 3.333333333333333 \][/tex]
Finally, we perform the subtraction:
[tex]\[ 10 - 3.333333333333333 = 6.666666666666667 \][/tex]
So, the final answer is:
[tex]\[ 10 - 5 \frac{2}{3} \approx 6.666666666666667 \][/tex]
