$$ \begin{array}{l} \checkmark 1\ 2\ \checkmark 3\ 4\ 5\ \checkmark 6\ \checkmark 7\ ext { Subtract. Write your answer as a mixed number in simplest form. }\ 5 \frac{3}{8}-2 \frac{5}{8} \end{array} $$

Question

$$ \begin{array}{l} \checkmark 1\ 2\ \checkmark 3\ 4\ 5\ \checkmark 6\ \checkmark 7\ 	ext { Subtract. Write your answer as a mixed number in simplest form. }\ 5 \frac{3}{8}-2 \frac{5}{8} \end{array} $$

UpStudy AI · Accepted Answer

1. Convert each mixed number to an improper fraction:
   - $$ 5\frac{3}{8} = \frac{5 \cdot 8 + 3}{8} = \frac{40 + 3}{8} = \frac{43}{8} $$
   - $$ 2\frac{5}{8} = \frac{2 \cdot 8 + 5}{8} = \frac{16 + 5}{8} = \frac{21}{8} $$

2. Subtract the fractions:
   $$
   \frac{43}{8} - \frac{21}{8} = \frac{43 - 21}{8} = \frac{22}{8}
   $$

3. Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 2:
   $$
   \frac{22}{8} = \frac{22 \div 2}{8 \div 2} = \frac{11}{4}
   $$

4. Convert the improper fraction $$\frac{11}{4}$$ to a mixed number:
   - Divide 11 by 4: $$11 \div 4 = 2$$ with a remainder of $$11 - 2 \cdot 4 = 3$$
   - So, $$\frac{11}{4} = 2\frac{3}{4}$$

The final answer is: $$2\frac{3}{4}$$.
$$2\frac{3}{4}$$

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