32/2 divided by 22/3 in Fraction Form

The result of 32/2 divided by 22/3 is: 2 2/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction 322 by 223.

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
322÷223=322×322

Step 3: Multiply the Fractions

Multiply the numerators: 32 × 3 = 96
Multiply the denominators: 2 × 22 = 44

Step 4: Simplify the Fraction

We can simplify 9644 to its lowest form.
The greatest common divisor (GCD) of 96 and 44 is 4.
Dividing both numerator and denominator by the GCD, we get 2411.

Step 5: Convert to Mixed Number

The fraction 2411 can be written as the mixed number 2211.

Final Answer

The result of 32/2 divided by 22/3 is:

322÷223=2211

Understanding Fraction Division

How to Divide Fractions

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

ab÷cd=ab×dc=adbc

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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