Subtract. Write your answer as a mixed number in simplest form.

Ask by Chandler Morgan. in the United States

Mar 23,2025

Question

Subtract. Write your answer as a mixed number in simplest form. $$ 4 \frac{1}{9}-1 \frac{4}{9} $$ $$ \square $$

UpStudy AI · Accepted Answer

1. Convert $$ 4 \frac{1}{9} $$ to an improper fraction:
   $$
   4 \frac{1}{9} = \frac{4 \times 9 + 1}{9} = \frac{36 + 1}{9} = \frac{37}{9}
   $$

2. Convert $$ 1 \frac{4}{9} $$ to an improper fraction:
   $$
   1 \frac{4}{9} = \frac{1 \times 9 + 4}{9} = \frac{9 + 4}{9} = \frac{13}{9}
   $$

3. Subtract the two fractions:
   $$
   \frac{37}{9} - \frac{13}{9} = \frac{37 - 13}{9} = \frac{24}{9}
   $$

4. Simplify the fraction $$\frac{24}{9}$$:
   $$
   \frac{24}{9} = \frac{24 \div 3}{9 \div 3} = \frac{8}{3}
   $$

5. Convert $$\frac{8}{3}$$ to a mixed number:
   $$
   \frac{8}{3} = 2 \frac{2}{3} \quad \text{(since $$8 \div 3 = 2$$ with a remainder of $$2$$)}
   $$

$$
\boxed{2 \frac{2}{3}}
$$
$$ 2 \frac{2}{3} $$

Subtract. Write your answer as a mixed number in simplest form.

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