Fraction to Decimal: To convert a fraction value into a decimal, we need to divide the top element (numerator) by the bottom element (denominator).
How to Convert Fractions to Decimals
Following are the steps to convert fraction to decimal:
Step 1 : Multiply the denominator of the fraction in such a way that it becomes 10, 100 , 1000 or 1 followed by zeroes.
Step 2 : Multiply that number to numerator also by which help we got 10, 100 or 1000.
Step 3 : Place decimal in numerator in such a way that its place is just equivalent to number of zeroes of denominators counted from the right most digit of numerator or we can say that we should start counting from the units place of numerator.
Also see: Decimal to Fraction
Fraction to Decimal Calculator
Fraction to Decimal Calculator or Fraction to Decimal Converter which converts fractions to decimal. It takes a fraction in the form of a/b, and calculates and displays the decimal form by dividing a by b. Any fraction including proper fraction or improper fractions, positive or negative fraction can be converted to decimals through this calculator.
Steps to Use Fraction to Decimal Calculator
- Enter a fraction or mixed number.
- Then click on Convert to Decimal button.
- Now it will display answer with step by step Fraction to decimal solution.
- You cal also see rounded values for entered fraction.
Note: For putting negative fraction, you can put a negative sign in the numerator or denominator.
Fraction to Decimal Chart
Below you could see the Fraction to Decimal chart:
| Fraction | Decimal |
|---|---|
| 1/100 | 0.01 |
| 1/50 | 0.02 |
| 3/100 | 0.03 |
| 1/25 | 0.04 |
| 1/20 | 0.05 |
| 3/50 | 0.06 |
| 7/100 | 0.07 |
| 2/25 | 0.08 |
| 9/100 | 0.09 |
| 1/10 | 0.10 |
| 1/5 | 0.20 |
| 1/4 | 0.25 |
| 3/10 | 0.30 |
| 2/5 | 0.40 |
| 1/2 | 0.50 |
| 3/5 | 0.60 |
| 7/10 | 0.70 |
| 3/4 | 0.75 |
| 4/5 | 0.80 |
| 9/10 | 0.90 |
| 1/1 | 1 |
Convert Fractions to Decimals Examples
Below are the solved examples on how to convert fractions to decimals:
Question 1: Convert 4/8 to decimal form.
Solution:
Step 1: First off, the fraction bar to mean “divided by.” This means
that 4/8 is the same as 4 divided by 8.
Step 2: One decimal places are answer, the 4 as 4.0 instead (a 4 with 1 zeros after the decimal point).
Step 3: The fraction bar says: divide 4.0 by 8:
Step 4: The 4 divided by 8 fraction decimal value is 0.5
Question 2: Convert 5/8 to decimal form.
Solution:
Step 1: The fraction bar to mean “divided by.” This means that 5/8 is the same as 5 divided by 8.
Step 2: The 3 decimal places are answer, the 5 as 5.000 instead (a 5 with 3 zeros after the decimal point).
Step 3: The fraction bar says: divide 5.000 by 8:
Step 4: The 5 divided by 8 fraction decimal value is 0.625
Question 3: 12 divided by 8 converts to decimal form.
Solution:
Step 1: The fraction bar to mean “divided by.” This means that 12/8 is the same as 12 divided by 8.
Step 2: The 2 decimal places are answer, the 12 as 12.00 instead (a 12 with 2 zeros after the decimal point).
Step 3: The fraction bar says: divide 12.00 by 8:
Step 4: The 4 divided by 8 fraction decimal value is 1.50
Question 4: Convert 5/4 to decimal.
Step 1 : we know that, 4 is the denominator So, 4 × 25 = 100
Step 2 : As multiplication with 25 gave 100, So, new fraction will be 5/4 × 25/25 = 125/100
Step 3 : decimal = 1.25
Answer : 1.25
Question 5: Convert 3/5 into decimal.
Step 1 : we know that, 5 is the denominator So, 5 × 2 = 10
Step 2 : As multiplication with 2 gave 10, So, new fraction will be 3/5 × 2/2 = 6/10
Step 3 : Decimal = 0.6
Answer : 0.6
Fraction to Decimal worksheet problems:
- Convert 5/6 to decimal form.
- Convert 7/8 to decimal form.
- Convert 6/8 to decimal form.