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Find the value of 0.25div32...

Find the value of `0.25div32`

A

`0.078125`

B

0.78

C

0.72185

D

0.0078125

Text Solution

AI Generated Solution

The correct Answer is:
To find the value of \(0.25 \div 32\), we can follow these steps: ### Step-by-Step Solution: 1. **Convert 0.25 to a Fraction**: \[ 0.25 = \frac{25}{100} \] 2. **Set Up the Division**: \[ \frac{25}{100} \div 32 = \frac{25}{100} \div \frac{32}{1} \] 3. **Change Division to Multiplication**: When dividing by a fraction, we multiply by its reciprocal: \[ \frac{25}{100} \times \frac{1}{32} \] 4. **Multiply the Fractions**: \[ = \frac{25 \times 1}{100 \times 32} = \frac{25}{3200} \] 5. **Simplify the Fraction**: To simplify \(\frac{25}{3200}\), we can divide both the numerator and the denominator by 25: \[ = \frac{1}{128} \] ### Final Answer: \[ 0.25 \div 32 = \frac{1}{128} \]
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