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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Subtraction of fractions.

Grade: 4-a Lesson: S3-L3

Explanation: Hello Students, time to practice and review the steps. Let us take next 2-5 minutes to solve the steps for the problems. This is a good exercise to check your understanding of the concepts.Second student to identify and review important steps.Focus on understanding the concepts and application to solving problems step by step.

Lesson Steps

Test

Step	Description	Fractions A	Mixed B	Decimals C	Images D
1	Expansion	\$55/2 \$	\$27 1/2 \$	27.5	27 $2$ $1$
2	Symbol				$minus$
3	Expansion	\$66/3\$	\$66/3\$	22.0	22 $3$
4	Symbol				$equal$
5	Expansion	\$33/6 = 11/2\$	\$5 1/2 \$	5.5	5 $2$ $1$

Step	Type	Explanation	Answer
6	Problem	Given improper fraction	\$55/2 and 66/3\$
7	Step	First, find the Least Common Denominator and rewrite the fractions with the common denominator
8	Step	LCM of 2 and 3	\$6\$
9	Step	Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCM.
10	Step	Complete the multiplication and the equation becomes	\$(55 \times 3)/(2 \times 3) - (66 \times 2)/(3 \times 2)\$
11	Step	The two fractions now have like denominators so you can subtract the numerators.	\$(165 - 132)/6\$
12	Step	After simplification we get	\$ 33/6 \$
13	Step	This fraction can be reduced by dividing both the numerator and denominator by 3.	\$\cancel(33)^11 / \cancel(6)^2\$
14	Step	After simplification we get	\$ 11/2 \$
15	Step	Convert fraction into a mixed fraction by division	11 ÷ 2
16	Step	Final fraction: \$"Whole number"+"Numerator"/"Denominator"\$	\$5 1/2\$
17		Answer	C

Step

Type

Explanation

Answer

Problem

Given improper fraction

\$55/2 and 66/3\$

Step

First, find the Least Common Denominator and rewrite the fractions with the common denominator

Step

LCM of 2 and 3

\$6\$

Step

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCM.

Step

Complete the multiplication and the equation becomes

\$(55 \times 3)/(2 \times 3) - (66 \times 2)/(3 \times 2)\$

Step

The two fractions now have like denominators so you can subtract the numerators.

\$(165 - 132)/6\$

Step

After simplification we get

\$ 33/6 \$

Step

This fraction can be reduced by dividing both the numerator and denominator by 3.

\$\cancel(33)^11 / \cancel(6)^2\$

Step

After simplification we get

\$ 11/2 \$

Step

Convert fraction into a mixed fraction by division

11 ÷ 2

Step

Final fraction: \$"Whole number"+"Numerator"/"Denominator"\$

\$5 1/2\$

Answer