Conversion of a mixed number to decimal is important to learn to find the precise values of mixed numbers. Mixed number to decimal conversion is done by converting the mixed fraction to an improper fraction first and then dividing the numerator by the denominator. This is just one way to do the conversion. Let us learn all the methods of conversion of a mixed number to decimal in this article.
| 1. | How to Convert Mixed Number to Decimal? |
| 2. | Converting Decimal to Mixed Number |
| 3. | FAQs on Mixed Number to Decimal |
There are two methods to convert a mixed number to decimal form:
Method 1: In this method, we first find the improper fraction of the given mixed number. Then we divide the numerator by the denominator to find its decimal equivalent. For example, \(2\dfrac\) can be converted to an improper fraction as,
\(2\dfrac\) = [(3 × 2) + 2]/3 = 8/3
Now, if we divide 8 by 3, we will get 2.67 approximately. Therefore, the decimal equivalent to the mixed number \(2\dfrac\) is 2.67. Let us use the same example to understand the second method.
Method 2: In this method, we will keep the whole number part aside and convert only the fractional part of the mixed number to decimals. So, in the given number \(2\dfrac\), the fractional part is 2/3, which can be converted to decimal as 2 ÷ 3 = 0.67 (approximately). Now, let us add the whole number part to it. So, we will get 2 + 0.67 = 2.67. Therefore, \(2\dfrac\) = 2.67. Irrespective of the method used, the answer of a mixed number to the decimal conversion will always be the same.
Observe the figure given below which shows the mixed number to decimal conversion of \(5\dfrac\).
You can also use Cuemath's free online mixed number to decimal calculator to verify your answers.
We can convert a decimal to a mixed number using the same concept that is used to convert a mixed number to decimal form. To convert a decimal to a mixed number, we follow the steps given below:
For example, let us convert a decimal number 2.5 to a mixed fraction.
☛ Related Articles
Check these interesting articles related to the concept of mixed number to decimal conversion in math.
Example 1: Convert the given mixed number to decimal: \(5\dfrac\) Solution: The given number is \(5\dfrac\). Let us first find the decimal equivalent of 1/3. To do that we need to divide 1 by 3 which is equal to 1 ÷ 3 = 0.33. Now let us add 0.33 to 5. This means 5 + 0.33 = 5.33. Therefore, the decimal value of the given mixed number is 5.33
Example 2: Emily walked \(3\dfrac\) miles on the first day and 12/5 miles on the second day. Find how many miles did she walk together on both days (in decimals). Solution: To find the total number of miles she walked on both days, we need to add \(3\dfrac\) and 12/5. For that let us first convert the given mixed number to an improper fraction. So, \(3\dfrac\) = 16/5. Now, we will add the distance of both the days. ⇒ Day 1 + Day 2 ⇒ 16/5 + 12/5 ⇒ 28/5 = \(5\dfrac\) Now, by converting the given mixed number to decimal, we get 28 ÷ 5 = 5.6. Therefore, Emily walked 5.6 miles in two days.
Example 3: What will be the decimal equivalent of \(7\dfrac\)? Solution: To convert the given mixed number to decimal, let us keep the whole number aside and first find the decimal equivalent of 2/7. So, 2 ÷ 7 = 0.29 (approximately). Now add 0.29 to the whole number 7, which is equal to 7.29. Therefore, the value of the given mixed number in decimals is 7.29
View Answer >
Become a problem-solving champ using logic, not rules. Learn the why behind math with our certified experts
