4/23 divided by 6/2 in Fraction Form

The result of 4/23 divided by 6/2 is: 4/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac423\) by \(\frac62\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac423 \div \frac62 = \frac423 \times \frac26\)

Step 3: Multiply the Fractions

Multiply the numerators: 4 × 2 = 8
Multiply the denominators: 23 × 6 = 138

Step 4: Simplify the Fraction

We can simplify \(\frac8138\) to its lowest form.
The greatest common divisor (GCD) of 8 and 138 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac469\).

Final Answer

The result of 4/23 divided by 6/2 is:

\[ \frac{4}{23} \div \frac{6}{2} = \frac469 \]

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

\( \frac{4}{23} \times \frac{6}{2} \)
Calculate
\( \frac{4}{23} + \frac{6}{2} \)
Calculate
\( \frac{4}{23} - \frac{6}{2} \)
Calculate
\( \frac{5}{23} \div \frac{6}{2} \)
Calculate
\( \frac{4}{23} \div \frac{7}{2} \)
Calculate
\( \frac{4}{24} \div \frac{6}{2} \)
Calculate
Try Another Calculation

Fraction Calculator

Calculate operations between any two fractions: