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} $.

Steps to Solve

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.

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