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Lesson Example Discussion Quiz: Class Homework

Step-4

Title: Compare fraction numbers

Grade: 4-a Lesson: S1-L3

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Identify the small fraction number given below \$33/27, 25/14, 44/29\$
2	Step	Given fraction numbers are	\$33/27, 25/14, 44/29\$
3	Step	First, we can convert fractions to have a common denominator.
4	Step	The least common multiple of 27,14 and 29 is	13506
5	Step	For \$ 33/27\$ multiply both the numerator and denominator by 502	\$ (33 * 502) / (27 * 502) = 16566 / 13506 \$
6	Step	For \$25/14 \$ multiply both the numerator and denominator by 963	\$ (25 * 963) / (14 * 963) = 24075 / 13506 \$
7	Step	For \$ 44/29 \$ multiply both the numerator and denominator by 466	\$ (44 * 466) / (29 * 466) = 20504 / 13506 \$
8	Step	The fractions have the same denominator, so you can simply compare the numerators. The fraction with the larger numerator is the smaller fraction.
9	Step	Among the fractions \$16566/13506, 24075/13506\$, and \$20504/13506\$, \$16566/13506\$ has the smallest numerator, making it the smallest fraction.
10	Step	You can also convert them to decimals \$ 16566/13506 \$ is approximately	1.22656597
11	Step	And also \$ 24075/13506 \$ is approximately	1.84397977
12	Step	And also \$ 20504/13506 \$ is approximately	1.51814008
13	Step	So, the smallest fraction among \$33/27, 25/14\$, and \$44/29\$ is	\$ 16566/13506 \$
14	Step	Therefore, the smallest fraction number is	\$ 33/27 \$
15	Sumup	Can you summarize what you’ve understood in the above steps?
16	Choice.A	This is not the smallest fraction; it has a value of approximately 1.79	\$25/14\$
17	Choice.B	This is not the smallest fraction; it has a value of approximately 1.52	\$44/29\$
18	Choice.C	This is the smallest fraction; it has a value of approximately 1.22	\$33/27\$
19	Choice.D	This is incorrect because the smallest fraction is \$33/27\$	Both A and B
20	Answer	Option	C
21	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Identify the small fraction number given below
\$33/27, 25/14, 44/29\$

Step

Given fraction numbers are

\$33/27, 25/14, 44/29\$

Step

First, we can convert fractions to have a common denominator.

Step

The least common multiple of 27,14 and 29 is

13506

Step

For \$ 33/27\$ multiply both the numerator and denominator by 502

\$ (33 * 502) / (27 * 502) = 16566 / 13506 \$

Step

For \$25/14 \$ multiply both the numerator and denominator by 963

\$ (25 * 963) / (14 * 963) = 24075 / 13506 \$

Step

For \$ 44/29 \$ multiply both the numerator and denominator by 466

\$ (44 * 466) / (29 * 466) = 20504 / 13506 \$

Step

The fractions have the same denominator, so you can simply compare the numerators. The fraction with the larger numerator is the smaller fraction.

Step

Among the fractions \$16566/13506, 24075/13506\$, and \$20504/13506\$, \$16566/13506\$ has the smallest numerator, making it the smallest fraction.

Step

You can also convert them to decimals \$ 16566/13506 \$ is approximately

1.22656597

Step

And also \$ 24075/13506 \$ is approximately

1.84397977

Step

And also \$ 20504/13506 \$ is approximately

1.51814008

Step

So, the smallest fraction among \$33/27, 25/14\$, and \$44/29\$ is

\$ 16566/13506 \$

Step

Therefore, the smallest fraction number is

\$ 33/27 \$

Sumup

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

Choice.A

This is not the smallest fraction; it has a value of approximately 1.79

\$25/14\$

Choice.B

This is not the smallest fraction; it has a value of approximately 1.52

\$44/29\$

Choice.C

This is the smallest fraction; it has a value of approximately 1.22

\$33/27\$

Choice.D

This is incorrect because the smallest fraction is \$33/27\$

Both A and B

Answer

Option

Sumup

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