Questions: -1 4/5 ÷ 2 2/5

Transcript text: $-1 \frac{4}{5} \div 2 \frac{2}{5}$

Solution

Solution Steps

To solve the division of mixed numbers, we first convert the mixed numbers to improper fractions. Then, we perform the division by multiplying the first fraction by the reciprocal of the second fraction. Finally, we simplify the resulting fraction if possible.

Step 1: Convert Mixed Numbers to Improper Fractions

We start by converting the mixed numbers to improper fractions: \[ -1 \frac{4}{5} = \frac{-9}{5} \] \[ 2 \frac{2}{5} = \frac{12}{5} \]

Step 2: Perform the Division

Next, we perform the division of the two improper fractions: \[ \frac{-9}{5} \div \frac{12}{5} = \frac{-9}{5} \times \frac{5}{12} \]

Step 3: Simplify the Result

Now, we simplify the expression: \[ \frac{-9 \times 5}{5 \times 12} = \frac{-9}{12} = \frac{-3}{4} \]

Final Answer

The final result of the division $ -1 \frac{4}{5} \div 2 \frac{2}{5} $ is \[ \boxed{\frac{-3}{4}} \]

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