Decimal to Fraction Chart
A decimal to fraction chart is used to perform quick calculations. It gives us the accurate value of decimal representation into p/q form and vice-versa. Fractions, decimals, and percents are numerical values that can be converted into each other using conversion methods. In this article, we will be learning about the decimal to fraction chart and the procedure to convert decimals to the corresponding fractions using solved examples.
| 1. | Decimal to Fraction Chart |
| 2. | Conversion of Decimal into Fraction |
| 3. | Uses of Decimal to Fraction Chart |
| 4. | FAQs on Decimal to Fraction Chart |
Decimal to Fraction Chart
Anchor charts are used to make fractions and decimal conversion easier for students. Here is a chart of some commonly-used fractions and their decimal equivalents. The fractions in the third column have been obtained after simplifying the fractions in the second column.
| Decimal | Fraction Equivalent | Simplest form |
|---|---|---|
| 0.1 | 1/10 | 1/10 |
| 0.2 | 2/10 | 1/5 |
| 0.3 | 3/10 | 3/10 |
| 0.4 | 4/10 | 2/5 |
| 0.5 | 5/10 | 1/2 |
| 0.6 | 6/10 | 6/10 |
| 0.75 | 75/100 | 3/4 |
| 0.125 | 125/1000 | 1/8 |
| 0.625 | 625/1000 | 5/8 |
| 1.25 |
125/100 = \(1\dfrac{25}{100}\) |
\(1\dfrac{3}{4}\) = 7/4 |
Conversion of Decimal into Fraction
These are the 3 simple steps to convert any decimal into a fraction:
- Step 1: Place the decimal over 1 in the fraction format with the decimal in the numerator and 1 in the denominator like this: Decimal/1.
- Step 2: Multiply both the denominator and the numerator by 10 for every digit after the decimal point. (For instance, if there are two digits after the decimal point, then multiply by 100, if there are three then multiply by 1000, etc.)
- Step 3: Then, simplify, or reduce the fraction. The answer is expressed as a fraction in its lowest form.
Let us use this process to convert the decimal 0.5 into a fraction.
- Step 1: Place the decimal over 1 in the fraction format with the decimal in the numerator and 1 in the denominator like this: 0.5/1
- Step 2: Multiply both the denominator and the numerator by 10 for every digit after the decimal point. Here, there is only one digit after the decimal point, so we multiply by 10. (0.5 × 10)/(1 × 10)
- Step 3: Then, simplify, or reduce the given fraction. 5/10 can be simplified as 1/2.
Thus, 0.5 = 5/10 = 1/2
Uses of Decimal to Fraction Chart
We can use the decimal to fraction chart as a quick reference to the most needed conversions between decimals to fractions and vice versa. These charts come in handy, especially while working on data interpretation that is while solving bar charts and pie charts.
Important Notes on Decimal to Fractions Chart
Here is a list of a few points that should be remembered while studying the decimal to fraction chart.
- The fractions, decimals, and percents that are found in pie charts and bar charts are the numerical versions of those slices and bars
- While working on data interpretation, in order to interpret bar charts and pie charts, fraction to decimal charts can be used.
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FAQs on Decimal to Fraction Chart
What is the Use of Decimal to Fraction Chart?
When there is a need to represent decimal value into a fraction (p/q) form we use decimal to fraction chart. It also helps in the opposite conversion that is converting fraction to decimal as well.
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How Do You Convert Decimal to a Fraction?
Follow these 3 simple steps to convert any decimal into a fraction:
- Step 1: Place the decimal over 1 in the fraction format with the decimal in the numerator and 1 in the denominator like this: Decimal/1
- Step 2: Multiply both the denominator and the numerator by 10 for every digit after the decimal point. (For instance, if there are two digits after the decimal point, then multiply by 100, if there are three then multiply by 1000, etc.)
- Step 3: Simplify or reduce the fraction to its lowest form.
Convert 0.125 into a Fraction Using the Decimal to Fraction Chart.
Using the decimal to fraction chart, the decimal 0.125 can be converted into a fraction as 125/1000. This fraction can be reduced further by simplifying it to 1/8.
What is 1.75 as a Fraction as per the Decimal to Fraction Conversion Method?
In order to convert the decimal 1.75 as a fraction, let us follow these 3 simple steps:
- Step 1: Place the decimal over 1 in the fraction format with the decimal in the numerator and 1 in the denominator like this: 1.75/1
- Step 2: Multiply both the denominator and the numerator by 10 for every digit after the decimal point. Here, there are two digits after the decimal point, so we multiply by 100. (1.75 × 100)/(1 × 100).
- Step 3: Then, simplify, or reduce the given fraction. 175/100 can be simplified as 7/4.
Convert 0.625 Into a Fraction Using the Decimal to Fraction Chart.
Using the decimal to fraction chart, the decimal 0.625 can be converted into a fraction as 625/1000. This fraction can be reduced further by simplifying it to 5/8.
What is 0.265 as a Fraction as per the Decimal to Fraction Chart?
Using the decimal to fraction chart, the decimal 0.265 can be converted into a fraction as 265/1000. This fraction can be reduced further by simplifying it to 53/200.