Simplify the complex fraction 2/3 over 1/3

Solution

Simplifying the Complex Fraction

23 13 23 13

Method 1 : LCD Multiplication

The LCD for 3 and 3 is 3

Multiply top and bottom by the LCD 3 * 23 3 * 13 = 21 3 * 23 3 * 13 = 21

convert to mixed numbers and

reduce fractions where possible

=2 = 2

Method 2 : Fraction Division

Divide the top fraction by the bottom

(multiply top by reciprocal of bottom)

23 : 13 23 : 13 = 23 * 31 = 23 * 31 = 63 = 63

convert to mixed numbers and

reduce fractions where possible

= 63 = 21 = 2