Lesson Example Discussion Quiz: Class Homework |
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 |
|
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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