10-7 5/12

To perform the operation \(10 - 7 \frac{5}{12}\), start by converting the mixed number \(7 \frac{5}{12}\) into an improper fraction.

1. Convert \(7\) to a fraction: \(7 = \frac{7 \times 12}{12} = \frac{84}{12}\).
2. Add the fraction part: \(7 \frac{5}{12} = \frac{84}{12} + \frac{5}{12} = \frac{89}{12}\).

Now, you can perform the subtraction:

\[ 10 - 7 \frac{5}{12} = 10 - \frac{89}{12} \]

Convert \(10\) to a fraction with a denominator of \(12\):

\[ 10 = \frac{10 \times 12}{12} = \frac{120}{12} \]

Now we can subtract:

\[ \frac{120}{12} - \frac{89}{12} = \frac{120 - 89}{12} = \frac{31}{12} \]

Therefore, the result of the operation is:

\[ \frac{31}{12} \]

If you want to convert \(\frac{31}{12}\) back into a mixed number:

\[ 31 \div 12 = 2 \quad \text{(whole number)} \quad \text{with a remainder of } 7 \]

So,

\[ \frac{31}{12} = 2 \frac{7}{12} \]

Thus, \(10 - 7 \frac{5}{12} = 2 \frac{7}{12}\).