3/12 divided by 8/2 in Fraction Form

The result of 3/12 divided by 8/2 is: 1/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction 312 by 82.

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
312÷82=312×28

Step 3: Multiply the Fractions

Multiply the numerators: 3 × 2 = 6
Multiply the denominators: 12 × 8 = 96

Step 4: Simplify the Fraction

We can simplify 696 to its lowest form.
The greatest common divisor (GCD) of 6 and 96 is 6.
Dividing both numerator and denominator by the GCD, we get 116.

Final Answer

The result of 3/12 divided by 8/2 is:

312÷82=116

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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