Question

given, select
one of these.\ assume all numbers are exact.

\\
\

$$\begin{array}{r} 33 \\frac{1}{8} \\\\ - 11 \\frac{3}{8} \\\\ \\hline \\end{array}$$

\\

• \\(-44 \frac{1}{2}\\)
• \\(21 \frac{3}{4}\\)
• \\(22 \frac{1}{4}\\)
• \\(44 \frac{1}{2}\\)
• none of these

Explanation:

Convert mixed numbers to improper fractions

$$ 33\frac{1}{8} = \frac{33 \times 8 + 1}{8} = \frac{265}{8} $$

$$ 11\frac{3}{8} = \frac{11 \times 8 + 3}{8} = \frac{91}{8} $$

Subtract the improper fractions

$$ \frac{265}{8} - \frac{91}{8} = \frac{174}{8} $$

Convert back to a mixed number and simplify

$$ \frac{174}{8} = 21\frac{6}{8} = 21\frac{3}{4} $$

Answer:

• \(-44\frac{1}{2}\)
• \(21\frac{3}{4}\) (Correct answer)
• \(22\frac{1}{4}\)
• \(44\frac{1}{2}\)
• none of these