SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Step-3

Title: Equivalent Fraction

Grade: 4-a Lesson: S2-L2

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	What is the next equivalent fraction in the sequence \$15/25\$, \$21/35\$, \$30/50\$, …?
2	Step	Each fraction in the sequence simplifies to \$3/5\$
3	Step	In the first fraction, the numerator and denominator are multiples of 5	\$15/25\$
4	Step	In the second fraction, the numerator and denominator are multiples of 7	\$21/35\$
5	Step	In the third fraction, the numerator and denominator are multiples of 10.	\$30/50\$
6	Step	We need to find the next pair of multiples of the same number. One possible choice is multiples of 11	3×11=33 5×11=55
7	Step	So, the next fraction in the sequence would be	\$33/55\$
8	Answer	Option	D
9	Sumup	Can you summarize what you’ve understood in the above steps?
10	Choice.A	\$33/56\$ This is not the correct option because denominator 56 does not match the pattern of multiples observed in the sequence	\$33/56\$
11	Choice.B	\$30/50\$ This is not the correct option because it’s the same as the third term in the sequence	\$30/50\$
12	Choice.C	\$33/55\$: This is not the correct option because the fraction is in reverse order compared to the pattern observed in the sequence	\$55/33\$
13	Choice.D	\$ 55/33\$ This is the correct option because it follows the pattern of multiples observed in the sequence, with 33 and 55 being multiples of 11	\$33/55\$
14	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

What is the next equivalent fraction in the sequence \$15/25\$, \$21/35\$, \$30/50\$, …?

Step

Each fraction in the sequence simplifies to \$3/5\$

Step

In the first fraction, the numerator and denominator are multiples of 5

\$15/25\$

Step

In the second fraction, the numerator and denominator are multiples of 7

\$21/35\$

Step

In the third fraction, the numerator and denominator are multiples of 10.

\$30/50\$

Step

We need to find the next pair of multiples of the same number. One possible choice is multiples of 11

3×11=33
5×11=55

Step

So, the next fraction in the sequence would be

\$33/55\$

Answer

Option

Sumup

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

Choice.A

\$33/56\$ This is not the correct option because denominator 56 does not match the pattern of multiples observed in the sequence

\$33/56\$

Choice.B

\$30/50\$ This is not the correct option because it’s the same as the third term in the sequence

\$30/50\$

Choice.C

\$33/55\$: This is not the correct option because the fraction is in reverse order compared to the pattern observed in the sequence

\$55/33\$

Choice.D

\$ 55/33\$ This is the correct option because it follows the pattern of multiples observed in the sequence, with 33 and 55 being multiples of 11

\$33/55\$

Sumup

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

Discussion: Step1 Step2 Step3 Step4 Step5