Question

Find the product of the following fractions. Express the answers as mixed fractions.
21/3 × 54/21=
41/6 × 33/4 =

Answer 1

5394 8694

zd ad54 88

4597 52 17

54 86

9425 722 554

4406

Answer 2

The answers are 18 and  $56\frac{3}{8}$.

Given: 1. $\frac{21}{3} \times \frac{54}{21}$

           2. $\frac{41}{6} \times \frac{33}{4}$

To find: the product of the given fractions

Solution:

Question 1

$\frac{21}{3} \times \frac{54}{21}$

21 in the numerator and denominator will be canceled by division,

= $\frac{54}{3}$

= 18

Question 2

$\frac{41}{6} \times \frac{33}{4}$

We can divide 33 in the numerator and 6 in the denominator by 3,

= $\frac{41}{2} \times \frac{11}{4}$

Since we cannot cancel anymore, we will multiply the fractions,

= $\frac{451}{8}$

= $56\frac{3}{8}$

Answers: 1. 18

                2.  $56\frac{3}{8}$

Fractions

• The term fraction means 'part.' Thus fraction refers to a part of an entire thing. The entire part is taken as the denominator, and the portion of it is taken as the numerator.

• We can solve the arithmetic functions of addition, subtraction, multiplication, and division on fractions.

• While multiplying fractions, we need to do multiplication and division. However, we cannot cancel the numbers in the numerator with each other. Similarly, we cannot cancel the numbers in the denominator with each other.

• We can only divide the numerator with the denominator.

• If the answer comes in the form of an improper fraction, we should always change it to a mixed fraction.

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