Converting Improper Fractions to Mixed Fractions :-
Conversely, if you have an improper fraction and want to express it as a mixed fraction, you perform the reverse process.
Step 1:- Divide the numerator by the denominator. The quotient is the whole number part of the mixed fraction.
Step 2:- The remainder of the division becomes the new numerator of the proper fraction part.
Step 3:- The denominator remains the same.
Example.1) Let's take an example: Convert 9/2 to a mixed fraction.
Step 1:- Divide the numerator (9) by the denominator (2) => 9 ÷ 2 = 4 with a remainder of 1
Step 2:- The whole number part is 4, and the remainder becomes the numerator of the proper fraction => 1/2
1
Step 3:- The denominator remains the same => 4 -------
2
1
So, 9/2 is equal to 4 ------ as a mixed fraction. (Ans.)
2
Understanding how to convert between mixed fractions and improper fractions is essential in various mathematical operations and applications.
Converting an improper fraction to a mixed fraction involves expressing the fraction as a combination of a whole number and a proper fraction (a fraction where the numerator is less than the denominator). Here are the steps to convert an improper fraction to a mixed fraction:
Example.2) Let's take an example: Convert 17/4 to a mixed fraction.
Step 1:- Divide the numerator by the denominator. 17 ÷ 4 = 4 with a remainder of 1.
Step 2:- The quotient from Step 1 becomes the whole number part of the mixed fraction. Whole number part = 4
Step 3:- The remainder from Step 1 becomes the new numerator of the proper fraction part. Numerator of the proper fraction = 1
Step 4:- The denominator remains the same. Denominator = 4
Step 5:- Write the mixed fraction combining the whole number and the
1
proper fraction. Mixed Fraction = 4 -------
4
1
So, 17/4 is equal to 4 ------ as a mixed fraction. (Ans.)
4