# Vulgar Fractions to Decimals Shortcut

How to convert vulgar fractions to decimals using Vedic Maths Shortcut?

## Explanation

Expressing the vulgar fractions into decimal values is simple with the use of the Vedic maths shortcut. To solve the vulgar fraction into a decimal numbers follow the steps given below.
For example, let us consider the number 1/19. To know the number of decimal values, take the denominator value and subtract it with one.
19 - 1 = 18 (hence we have 18 decimal place values for this fraction and after 18th decimal value the answer will be repeated).

Step 1: Take the first digit of the denominator and add one.
In 19, take the first value, 1+1 = 2. Step 2: Add one with the denominator.
19 + 1 = 20. So its 1/20 Step 3: Divide 1/20.
1/20 = 0 (quotient) , 1(remainder) Step 4: Now write down the remainder followed by the quotient. It is 10. Step 5:
Divide Step 4 result by Step 1 result.
10/2 = 5(quotient), 0(remainder) Step 6: Write down the remainder followed by the quotient from Step 5 and divide by Step 2 result.
05/2 = 2(quotient), 1(remainder) Step 7: Write down the remainder followed by the quotient from Step 6 and divide by Step 1 result.
12/2 = 6(quotient), 0(remainder) Step 8: Repeat the process till you get 18 decimal values.

Step 9: Write down all the quotient values from the result of the above steps.
1/19 = 0.0526... Let us use this shortcut for another example, 1/29.
29 - 1 = 28. So the fraction has 28 decimal values.
Step 1: Take first digit of denominator and add it with one.
2 + 1 = 3.
Step 2: Add one with the denominator, 29 + 1 = 30. So its 1/30
Step 3: Divide 1/30
1/30 = 0 (quotient) , 1(remainder)
Step 4: Write down the remainder followed by the quotient. It is 10.
Step 5: Divide the Step 4 result by Step 1 result.
10/3 = 3 (quotient), 1(remainder)
13/3 = 4(quotient), 1(remainder)
14/3 = 4(quotient), 2(remainder)
24/3 = 8(quotient), 0(remainder)
Repeat the same procedure till you get 28 decimal values.
Now the decimal fraction of 1/29 is 0.03448..