Question

How do I change \[\dfrac{{14}}{3}\] into a mixed number?

Answer 1

Hint:Here in this question the number is in the form of fraction. In the fraction we have 3 types of fraction. Proper fraction, Improper fraction and Mixed fraction.

Here in the question, they have given Proper fraction. If the value of the numerator is less than the value of the denominator, then it is Improper fraction.

Complete step by step explanation:The question is based on the fractions. As we know that the fractions are of 3 kinds, Proper fraction, Improper fraction and Mixed fraction.

If the value of numerator is less than the value of denominator in the fraction then it is Proper fraction. If the value of the numerator is more than the value of the denominator in the fraction then it is Improper fraction. The whole and fraction is combined together then it is mixed fraction.

Now we have to convert the given number \[\dfrac{{14}}{3}\] into a mixed number. The given number is an improper fraction. The mixed number is nothing but mixed fraction. Now we divide the 14 by 3 we have

If the 3 is multiplied by 4 the product is 12. We subtract 12 from 14. We get 2 as a remainder. Here 3 is divisor, 14 is dividend, 4 is the quotient and 2 is the remainder.

After division the number \[\dfrac{{14}}{3}\] is written as \[4\dfrac{2}{3}\] and it is in the form of mixed fraction.

Note:The proper fractions and improper fractions can be converted into the mixed fraction by the division rule.

The solution is also written using the division rule. The table of multiplication should be known to divide the number. The mixed fraction can also convert into the proper or improper fraction.