17/13 divided by 3/4 in Fraction Form

The result of 17/13 divided by 3/4 is: 1 29/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction 1713 by 34.

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
1713÷34=1713×43

Step 3: Multiply the Fractions

Multiply the numerators: 17 × 4 = 68
Multiply the denominators: 13 × 3 = 39

Step 4: Convert to Mixed Number

The fraction 6839 can be written as the mixed number 12939.

Final Answer

The result of 17/13 divided by 3/4 is:

1713÷34=12939

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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