12/3 divided by 1/2 in Fraction Form

The result of 12/3 divided by 1/2 is: 8

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac123\) by \(\frac12\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac123 \div \frac12 = \frac123 \times \frac21\)

Step 3: Multiply the Fractions

Multiply the numerators: 12 × 2 = 24
Multiply the denominators: 3 × 1 = 3

Step 4: Simplify the Fraction

We can simplify \(\frac243\) to its lowest form.
The greatest common divisor (GCD) of 24 and 3 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac81\).

Final Answer

The result of 12/3 divided by 1/2 is:

\[ \frac{12}{3} \div \frac{1}{2} = 8 \]

Understanding Fraction Division

How to Divide Fractions

To divide fractions, you multiply by the reciprocal of the divisor:

\( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc} \)

This technique is often remembered as "keep, change, flip" - keep the first fraction, change division to multiplication, and flip the second fraction.

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Related Calculations

\( \frac{12}{3} \times \frac{1}{2} \)
Calculate
\( \frac{12}{3} + \frac{1}{2} \)
Calculate
\( \frac{12}{3} - \frac{1}{2} \)
Calculate
\( \frac{13}{3} \div \frac{1}{2} \)
Calculate
\( \frac{12}{3} \div \frac{2}{2} \)
Calculate
\( \frac{12}{4} \div \frac{1}{2} \)
Calculate
Try Another Calculation

Fraction Calculator

Calculate operations between any two fractions: