Question

12 - \frac{33}{4} = \frac{?}{?}? (with images of robots a, b, c with lengths 4\frac{1}{2} inches, 3\frac{3}{4} inches, 5\frac{1}{8} inches respectively and a done button)

Explanation:

Step1: Convert 12 to a fraction with denominator 4

To subtract the fraction $\frac{33}{4}$ from 12, we first convert 12 to a fraction with denominator 4. Since $12 = \frac{12\times4}{4}=\frac{48}{4}$.

Step2: Subtract the two fractions

Now we subtract $\frac{33}{4}$ from $\frac{48}{4}$. Using the rule for subtracting fractions with the same denominator, $\frac{a}{b}-\frac{c}{b}=\frac{a - c}{b}$, we have $\frac{48}{4}-\frac{33}{4}=\frac{48 - 33}{4}=\frac{15}{4}$.

Step3: Convert the improper fraction to a mixed number (optional, but to match the format)

$\frac{15}{4}$ as a mixed number is $3\frac{3}{4}$, but the question seems to want the result as a fraction or a mixed number in the boxed form. Wait, actually, $\frac{15}{4}$ can also be written as a mixed number $3\frac{3}{4}$, but let's check the calculation again. Wait, $12-\frac{33}{4}=\frac{48}{4}-\frac{33}{4}=\frac{15}{4}=3\frac{3}{4}$. But the problem has a box for the whole number and a fraction. Wait, maybe I misread. Wait, the problem is $12-\frac{33}{4}$. Let's do the division: 33 divided by 4 is 8 with a remainder of 1? No, wait 4*8 = 32, 33-32 = 1, so $\frac{33}{4}=8\frac{1}{4}$? Wait no, no, 12 is 12, $\frac{33}{4}=8.25$, 12 - 8.25 = 3.75, and 3.75 is $3\frac{3}{4}$ or $\frac{15}{4}$. Wait, maybe the problem is expecting the result as a fraction. Wait, let's re - do the steps:

1. Rewrite 12 as a fraction with denominator 4: $12=\frac{12\times4}{4}=\frac{48}{4}$
2. Subtract: $\frac{48}{4}-\frac{33}{4}=\frac{48 - 33}{4}=\frac{15}{4}$
3. $\frac{15}{4}$ can be written as $3\frac{3}{4}$, so the whole number part is 3, the numerator of the fraction is 3, and the denominator is 4.

Answer:

The whole number is $3$, the numerator is $3$, and the denominator is $4$, so the answer is $3\frac{3}{4}$ (or in the boxed form as $3\frac{3}{4}$). But if we consider the fraction form $\frac{15}{4}$, but based on the problem's layout with a whole number box and a fraction box (numerator and denominator), the result is $3\frac{3}{4}$, so the whole number is 3, numerator 3, denominator 4.