In this learning concept, students will learn about the multiplication and division of fractions. Students also can use their previous knowledge of fractions in class 4.
In this learning concept, the students will learn to
Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.
Download the multiplication and division of fractions worksheets for class 5 and check the solutions for the addition and subtraction of fractions provided in PDF format.
Multiplication of Fractions
To multiply fractions, there is no need to have the same denominators. We can multiply any fractions by the following steps.
Step 1: If there is a whole number, write the whole number in the form of a fraction with denominator 1.
Step 2: Multiply the numerators.
Step 3: Multiply the denominators.
Step 4: Simplify the new fraction.
Multiplication of Fractions With Whole Numbers
Question: Find the product: 3/4x 4
Answer:
Step 1: Write the whole number in the form of a fraction.
4 = 4/1
Step 2: Multiply the numerators.
4 × 3 = 12
Step 3: Multiply the denominators.
1 × 4 = 4
We can do steps 2 and 3 as:
Step 4: Simplify the new fraction.
HCF of 4 and 12 = 4
Divide numerator and denominator by 4.
÷
4/4 ÷
4=3/1=3Visual Representation:
The fraction 3/4 is repeated 4 times. (Multiplication is repeated addition.)
So, 4 of 3/4 is 3
Multiplication of Two Fractions
Question: Find the product: 5/8x1/2
Answer:
Step 1: Multiply the numerators.
Step 2: Multiply the denominators.
Visual Representation:
Division of Fractions Class 5
To do division of fractions, we need to know the term ‘reciprocal of a fraction’.
Reciprocal of 3/7 is 7/3
Reciprocal of 2/9 is 9/2
Reciprocal of 5 is 1/5(We can write 5 as 5/1.)
Step 1: If there is a whole number, write the whole number in the form of a fraction
Step 2: Find the reciprocal of the second fraction.
Step 3: Multiply the first fraction and reciprocal of the second fraction.
Examples:
Question 1: 9/12÷
2 = ?
Answer:
9/12÷
2 = 9/12x1/2(Here, 1/2 is the reciprocal of the 2.)
÷
2 =9/12x1/2=9x1/12x2=9/24HCF of 9 and 24 = 3
Divide both numerator and denominator by 3.
÷
3/24 ÷
3=3/8÷
2=3/8Visual Representation:
Question 2: 9/12÷
3/5=?
Answer:
Step 1: Find the reciprocal of the second fraction.
Step 2: Multiply the first fraction and the reciprocal of the second fraction.
÷
3/5=9/12x5/3=9 x 5/12 x 3=45/36Step 3: Simplify the fraction.
HCF of 45 and 36 = 9
Divide both numerator and denominator by 9.
÷
9/36 ÷
9 = 5/4So, 9/12 ÷
3/5= 5/4 = 1 1/4Visual Representation: