# Comparing Fractions Calculation

Campares the two given fraction values and determines the greater or equal value:

#### Example 1:

Compare 7/8 and 6/18.

Find the LCD: __| 8, 18 __

= __2| 8, 18 __

= __2| 4, 9 __

= __2| 2, 9 __

= __3| 1, 9 __

= __3| 1, 3 __

= __1| 1, 1 __

So LCD = 2 x 2 x 2 x 3 x 3 = 72

now 72/8 = 9 and

72/18 = 4

Convert both fraction to its equivalent fraction using the LCD.

Case 1 : 7/8, multiply numerator and denominator by 9 to have LCD = 72 in the denominator.

Case 2 : 6/18, multiply numerator and denominator by 4 to have LCD = 72 in the denominator.

$$ \dfrac{7}{8} \times \dfrac{9}{9} = \dfrac{63}{72} $$

For 6/18, multiply numerator and denominator by 4 to have LCD = 72 in the denominator.

$$ \dfrac{6}{18} \times \dfrac{4}{4} = \dfrac{24}{72} $$Since denominator is common, we will compare the numerator of both fractions

now 63 is greater than 24,

therefore (7 / 8) is greater than (6 / 18)

#### Example 2:

Compare 4/6 and 12/18.

Find the LCD: __| 6, 18 __

= __2| 6, 18 __

= __3| 3, 9 __

= __3| 1, 3 __

= __1| 1, 1 __

So LCD = 2 x 3 x 3 = 18

now 18/6 = 3 and

18/18 = 1

Convert 4/6 fraction to its equivalent fraction using the LCD.

4/6, multiply numerator and denominator by 3 to have LCD = 18 in the denominator.

$$ \dfrac{4}{6} \times \dfrac{3}{3} = \dfrac{12}{18} $$

Since denominator is common, we will compare the numerator of both fractions

now both are 12 ,

therefore (4/6) is equal to (12/18)