Step-5

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
\$47/9 , 17/33 , 16/5, 33/45\$

2

Step

The given fraction numbers are

\$47/9 , 17/33 , 16/5, 33/45\$

3

Step

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

4

Step

The least common multiple of 9,33,5 and 45 is

1485

5

Step

For \$ 47/9\$ multiply both the numerator and denominator by 165

\$ (47 * 165) / (9 * 165) = 7755 / 1485 \$

6

Step

For \$ 17/33 \$ multiply both the numerator and denominator by 45

\$ (17 * 45) / (33 * 45) = 765 / 1485 \$

7

Step

For \$ 16/5 \$ multiply both the numerator and denominator by 297

\$ (16 * 297) / (5 * 297) = 4752 / 1485 \$

8

Step

For \$ 33/45 \$ multiply both the numerator and denominator by 33

\$ (33 * 33) / (45 * 33) = 1089 / 1485 \$

9

Step

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

10

Step

Among the fractions \$7755/1485, 765/1485, 4752/1485\$, and \$1089/1485\$, \$765/1485\$ has the smallest numerator, making it the smallest fraction.

11

Step

You can also convert them to decimals \$7755/1485 \$ is approximately

5.222222222

12

Step

And also \$ 765/1485 \$ is approximately

0.51515151

13

Step

And also \$ 4752/1485 \$ is approximately

3.2

14

Step

And also \$1089/1485 \$ is approximately

0.7333333333

15

Step

So, the smallest fraction among \$47/9 , 17/33 , 16/5\$, and \$ 33/45 \$ is

\$ 765/1485 \$

16

Step

Therefore, the smallest fraction number is

\$ 17/33 \$

17

Sumup

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

18

Choice.A

Incorrect. The simplified form of \$16/5\$ is 3.2, not \$16/5\$

\$16/5\$

19

Choice.B

Correct. The simplified form of \$17/33\$ is 0.515

\$17/33\$

20

Choice.C

Incorrect. The simplified form of \$33/45\$ is 0.733, not \$33/45\$

\$33/45\$

21

Choice.D

This is incorrect because the smallest fraction is \$17/33\$

All the above

22

Answer

Option

B

23

Sumup

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


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