3/13 divided by 2/2 in Fraction Form

The result of 3/13 divided by 2/2 is: 3/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac313\) by \(\frac22\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac313 \div \frac22 = \frac313 \times \frac22\)

Step 3: Multiply the Fractions

Multiply the numerators: 3 × 2 = 6
Multiply the denominators: 13 × 2 = 26

Step 4: Simplify the Fraction

We can simplify \(\frac626\) to its lowest form.
The greatest common divisor (GCD) of 6 and 26 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac313\).

Final Answer

The result of 3/13 divided by 2/2 is:

\[ \frac{3}{13} \div \frac{2}{2} = \frac313 \]

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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