# Comparing Fractions Calculation

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

 A : / B : /

Calculator helps to compare two entered fractions and find out the samller fraction in the result window. first finds the least common denominator (LCD), converts the fractions to equivelant fractions using the LCD, then compares the numerators for equality

#### 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)