# CLASS-6IMPROPER FRACTION TO MIX FRACTION

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