Question

Simplify the complex fraction 2/3 over 1/3

Answer 1

Solution
Simplifying the Complex Fraction
23132313
Method 1 : LCD Multiplication
The LCD for 3 and 3 is 3
Multiply top and bottom by the LCD3×233×13=213×233×13=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÷1323÷13=23×31=23×31=63=63
convert to mixed numbers and
reduce fractions where possible
=63=21=2

Answer 2

2.

Explanation:

We are asked to simplify the given complex fraction
`((2)/(3))/((1)/(3))`.

We know that dividing a fraction by another fraction is same as multiplying the 1st fraction by the reciprocal of 2nd fraction.

Let us change our given division problem as multiplication of two fractions by flipping the 2nd fraction multiplied by 1st fraction as shown below:

`((2)/(3))/((1)/(3))=(2)/(3)* (3)/(1)`

`((2)/(3))/((1)/(3))=(2*3)/(3*1)`

`((2)/(3))/((1)/(3))=(2)/(1)`

`((2)/(3))/((1)/(3))=2`

Therefore, the simplified form of our given expression equals 2.