SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Step-1

Title: Mixed Fraction Addition

Grade: 5-a Lesson: S2-L4

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.

Discussion: Step1 Step2 Step3 Step4 Step5 Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Add \$10 7/2\$ + \$14 2/3\$.
2	Step	Given fractions are	\$10 7/2\$,\$14 2/3\$
3	Step	Change the mixed fractions into improper fractions	\$(20 + 7)/2\$ & \$(42 + 2)/3\$ = \$27/2\$ & \$45/3\$
4	Step	Least Common Multiple (LCM) between the denominators	L.C.M 2, 3 = 6
5	Step	Multiply the numerator and denominator of each fraction by a number so that they have the LCM as their new denominator	\$((27 \times 3) + (45 \times 2))/6\$
6	Step	Add the numerators and keep the denominator the same	\$(81 + 90)/6\$ = \$171/6\$
7	Step	Divide the numerator with the denominator	\$171 \div 6\$
8	Step	You will get values of quotient (q) and remainder ( r )	q = 28, r = 3
9	Step	Mixed number = \$"WholeNumber" + ("Numerator"/"Denominator")\$ Here whole number means quotient & numerator means remainder	\$28 3/6\$
10	Step	After adding, the resulting fraction is \$28 3/6\$
11	Answer	Option	B
12	Sumup	Can you summarize what you’ve understood in the above steps?
13	Choice.A	This option is Incorrect as this does not mathematically equate to our calculations	\$25 1/5\$
14	Choice.B	This is correct because it accurately represents the result of the stem, which is \$28 1/6\$	\$28 3/6\$
15	Choice.C	This option is Incorrect as this is numerically and fractionally different from our calculations	\$29 2/3\$
16	Choice.D	This option is Incorrect as \$28 3/2\$ simplifies to \$29.5\$, which also does not match our calculations	\$24 3/2\$
17	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Add \$10 7/2\$ + \$14 2/3\$.

Step

Given fractions are

\$10 7/2\$,\$14 2/3\$

Step

Change the mixed fractions into improper fractions

\$(20 + 7)/2\$ & \$(42 + 2)/3\$ = \$27/2\$ & \$45/3\$

Step

Least Common Multiple (LCM) between the denominators

L.C.M 2, 3 = 6

Step

Multiply the numerator and denominator of each fraction by a number so that they have the LCM as their new denominator

\$((27 \times 3) + (45 \times 2))/6\$

Step

Add the numerators and keep the denominator the same

\$(81 + 90)/6\$ = \$171/6\$

Step

Divide the numerator with the denominator

\$171 \div 6\$

Step

You will get values of quotient (q) and remainder ( r )

q = 28, r = 3

Step

Mixed number = \$"WholeNumber" + ("Numerator"/"Denominator")\$
Here whole number means quotient & numerator means remainder

\$28 3/6\$

Step

After adding, the resulting fraction is \$28 3/6\$

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?

Choice.A

This option is Incorrect as this does not mathematically equate to our calculations

\$25 1/5\$

Choice.B

This is correct because it accurately represents the result of the stem, which is \$28 1/6\$

\$28 3/6\$

Choice.C

This option is Incorrect as this is numerically and fractionally different from our calculations

\$29 2/3\$

Choice.D

This option is Incorrect as \$28 3/2\$ simplifies to \$29.5\$, which also does not match our calculations

\$24 3/2\$

Sumup

Can you summarize what you’ve understood in the above steps?

Discussion: Step1 Step2 Step3 Step4 Step5