14/19 divided by 11/6 in Fraction Form

The result of 14/19 divided by 11/6 is: 84/209

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac1419\) by \(\frac116\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac1419 \div \frac116 = \frac1419 \times \frac611\)

Step 3: Multiply the Fractions

Multiply the numerators: 14 × 6 = 84
Multiply the denominators: 19 × 11 = 209

Final Answer

The result of 14/19 divided by 11/6 is:

\[ \frac{14}{19} \div \frac{11}{6} = \frac84209 \]

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).

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