Express the following as mixed fractions : (a) 20/3 (b) 11/5 (c) 17/7 (d) 28/5 (e) 19/6 (f) 35/9

Solution:

We use the concepts of fractions, improper fractions, and mixed fractions to express the given fractions as mixed fractions.

Here we observe that a given fraction is an improper fraction. Hence it can be easily converted into a mixed fraction.

Let us divide the given fraction. On dividing, we will get the quotient and remainder.

Now, we write the given fraction in the mixed form a b/c where a is the quotient, b is the remainder and c is the divisor. Let us apply this concept to solve all the six cases of the given problem.

(a)

(b)

(c)
 

(d)

(e)

(f)

Hence we got the fraction in mixed form for all the six cases given.

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.2 Question 2

Express the following as mixed fractions : (a) 20/ 3 (b) 11/ 5 (c) 17/ 7 (d) 28/ 5 (e) 19/ 6 (f) 35/ 9

Summary:

Using the concepts of fractions, mixed fractions and improper fractions, the given fractions have been expressed as mixed fractions a. \(6{\Large\frac{2}{3}}\), b. \(2{\Large\frac{1}{5}}\), c. \(2{\Large\frac{3}{7}}\), d. \(5{\Large\frac{3}{5}}\), e. \(3{\Large\frac{1}{6}}\) and, f. \(3{\Large\frac{8}{9}}\).

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