38/23 divided by 2/3 in Fraction Form

The result of 38/23 divided by 2/3 is: 2 11/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction 3823 by 23.

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
3823÷23=3823×32

Step 3: Multiply the Fractions

Multiply the numerators: 38 × 3 = 114
Multiply the denominators: 23 × 2 = 46

Step 4: Simplify the Fraction

We can simplify 11446 to its lowest form.
The greatest common divisor (GCD) of 114 and 46 is 2.
Dividing both numerator and denominator by the GCD, we get 5723.

Step 5: Convert to Mixed Number

The fraction 5723 can be written as the mixed number 21123.

Final Answer

The result of 38/23 divided by 2/3 is:

3823÷23=21123

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).

Fraction Calculator

Calculate operations between any two fractions: