3/4 divided by 2

Understand the Problem

The question is asking for the result of dividing the fraction three fourths by the whole number two. This involves understanding how to perform division with fractions.

Answer

$\frac{3}{8}$

Steps to Solve

Set up the division

Write the problem as a division of fractions:

$\frac{3}{4} \div 2$

Convert whole number to fraction

Convert the whole number 2 to a fraction by putting it over 1:

$\frac{3}{4} \div \frac{2}{1}$

Apply division rule

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. The reciprocal of $\frac{2}{1}$ is $\frac{1}{2}$:

$\frac{3}{4} \times \frac{1}{2}$

Multiply fractions

Multiply the numerators and denominators:

$\frac{3 \times 1}{4 \times 2} = \frac{3}{8}$

The final answer is three-eighths (3/8) or 0.375.

More Information

The fraction 3/8 can also be expressed as a decimal 0.375 or as a percentage 37.5%. This operation effectively halves the original fraction 3/4, as dividing by 2 is the same as multiplying by 1/2.

Tips

A common mistake is to divide both the numerator and denominator by 2, which is incorrect. Remember, when dividing by a whole number, you can multiply the denominator by that number instead. Alternatively, convert the whole number to a fraction and then use the 'multiply by the reciprocal' rule.

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