127/21 divided by 82/3 in Fraction Form

The result of 127/21 divided by 82/3 is: 127/574

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction 12721 by 823.

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
12721÷823=12721×382

Step 3: Multiply the Fractions

Multiply the numerators: 127 × 3 = 381
Multiply the denominators: 21 × 82 = 1722

Step 4: Simplify the Fraction

We can simplify 3811722 to its lowest form.
The greatest common divisor (GCD) of 381 and 1722 is 3.
Dividing both numerator and denominator by the GCD, we get 127574.

Final Answer

The result of 127/21 divided by 82/3 is:

12721÷823=127574

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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