**Fractions**

**Fractions-aptitude-questions-answers-basics**

**Fractions Aptitude
basics, practice questions, answers and explanations **

**Prepare for companies tests and interviews**

**Simple or Vulgar Fraction**

A number expressed with numerator and
denominator. Say I have 3 of 10 apples then I will express it as 3/10. The
total is written below a horizontal or diagonal line, and the number of parts
comprising the fraction (numerator) is written above. Such fractions are called
vulgar fractions or simple fractions. Eg:[ 3/4 ]

**Decimal Fraction**

Expressing the fraction in decimal
values (denominator a power of 10) is called decimal fraction. 1/2 is expressed
as 0.5 in decimal fraction. Eg:[ 0.45773 ]

**Converting a decimal to vulgar fraction:**

Step 1: Calculate the total numbers
after decimal point.

Step 2: Remove the decimal point from
the number.

Step 3: Put 1 under the denominator and
annex it with "0" as many as the total in step a.

Step 4: Reduce the fraction to its lowest
terms.

Example: Consider 0.44

Step 1: Total number after decimal point
is 2

Step 2 and 3: 44/100

Step 4: Reducing it to lowest terms :
44/100 = 22/50 = 11/25

**Converting a recurring decimal to vulgar
fraction**

A decimal with recurring value is called
recurring decimal.

E.g: 2/9 will give 0.22222222...... where 2 is recurring number.

**Method:**

Step 1: Separate the recurring number
from the decimal fraction.

Step 2: Annex denominator with
"9" as many times as the length of the recurring number.

Step 3: Reduce the fraction to its
lowest terms.

Example: Consider 0.2323232323

Step 1: The recurring number is 23

Step 2: 23/99 [the number 23 is of
length 2 so we have added two nines]

Step 3: Reducing it to lowest terms :
23/99 [it can not be reduced further].

**Mixed Recurring to Fractions:**

If N= 0.abcbcbc?. Then N = abc - a / 990
= Repeated & non-repeated digits - Non repeated digits / As many 9's as
repeated digits followed by as many zero as non - repeated digits

Eg: 0.25757..... = 257 - 2 / 990 = 255 /
990 = 17 / 60.