3/4 divided by 16
Understand the Problem
The question is asking for the result of dividing a fraction (3/4) by a whole number (16). This involves performing operations with fractions and should be solved step by step.
Answer
The result of \( \frac{3}{4} \div 16 \) is \( \frac{3}{64} \).
Answer for screen readers
The final answer is ( \frac{3}{64} ).
Steps to Solve
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Convert the whole number to a fraction
To divide a fraction by a whole number, we first convert the whole number into a fraction. The whole number 16 can be written as a fraction with 1 in the denominator.
Thus, we have:
$$ 16 = \frac{16}{1} $$ -
Set up the division of fractions
Dividing a fraction by another fraction involves multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of ( \frac{16}{1} ) is ( \frac{1}{16} ).
So, we rewrite the division:
$$ \frac{3}{4} \div \frac{16}{1} = \frac{3}{4} \times \frac{1}{16} $$ -
Multiply the fractions
Now we multiply the numerators and the denominators:
$$ \frac{3 \times 1}{4 \times 16} = \frac{3}{64} $$ -
Final Result
The result of dividing ( \frac{3}{4} ) by 16 is ( \frac{3}{64} ).
The final answer is ( \frac{3}{64} ).
More Information
When you divide a fraction by a whole number, you're essentially asking how many parts of the fraction fit into that whole. In this case, ( \frac{3}{64} ) represents a smaller portion of the fraction ( \frac{3}{4} ) when spread across 16 equal parts.
Tips
- Forgetting to convert the whole number to a fraction.
- Not taking the reciprocal of the divisor when dividing fractions.
- Confusing multiplication and division operations for fractions.
