To find out what should be subtracted from 10 to obtain [tex]\( 3 \frac{3}{4} \)[/tex], let's break it down step-by-step.
1. Understand the target value: The target value is [tex]\( 3 \frac{3}{4} \)[/tex]. This is a mixed fraction. To work with it more easily, we can convert it to a decimal:
[tex]\[
3 \frac{3}{4} = 3 + \frac{3}{4} = 3 + 0.75 = 3.75
\][/tex]
So, we are aiming to obtain the number 3.75.
2. Starting value: The starting value is 10.
3. Find the difference: To determine what number should be subtracted from 10 to get 3.75, we need to find the difference between 10 and 3.75.
Let's denote the unknown value that needs to be subtracted by [tex]\( x \)[/tex]. So the equation will be:
[tex]\[
10 - x = 3.75
\][/tex]
4. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we rearrange the equation:
[tex]\[
x = 10 - 3.75
\][/tex]
5. Subtract the numbers:
[tex]\[
10 - 3.75 = 6.25
\][/tex]
Thus, the value that needs to be subtracted from 10 to get [tex]\( 3 \frac{3}{4} \)[/tex] (which is 3.75) is [tex]\( 6.25 \)[/tex].
