6/13 divided by 5/4 in Fraction Form

The result of 6/13 divided by 5/4 is: 24/65

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac613\) by \(\frac54\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac613 \div \frac54 = \frac613 \times \frac45\)

Step 3: Multiply the Fractions

Multiply the numerators: 6 × 4 = 24
Multiply the denominators: 13 × 5 = 65

Final Answer

The result of 6/13 divided by 5/4 is:

\[ \frac{6}{13} \div \frac{5}{4} = \frac2465 \]

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

\( \frac{6}{13} \times \frac{5}{4} \)
Calculate
\( \frac{6}{13} + \frac{5}{4} \)
Calculate
\( \frac{6}{13} - \frac{5}{4} \)
Calculate
\( \frac{7}{13} \div \frac{5}{4} \)
Calculate
\( \frac{6}{13} \div \frac{6}{4} \)
Calculate
\( \frac{6}{14} \div \frac{5}{4} \)
Calculate
Try Another Calculation

Fraction Calculator

Calculate operations between any two fractions: