SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Step-5

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	Identify the missing number in the given equivalent fraction \$15/18\$ and \$30/36\$=\$?/72\$.
2	Step	To find the greatest common divisor (GCD) for each number. Factors of 15 is Factors of 18 is Factors for 30 is Factors for 36 is	1, 3, 5, 15 1, 2, 3, 6, 9, 18 1, 2, 3, 5, 6, 10, 15,30 1, 2, 3, 4, 6, 9, 12, 18, 36
3	Step	The GCD for 15 and 18 is 3 The GCD for 30 and 36 is 6 Divide both the numerator and the denominator by the GCD	\$(15 ÷ 3)/(18 ÷ 3) = 5/6\$ \$(30 ÷ 6)/(36 ÷ 6) = 5/6\$
4	Step	Cross-multiplying involves multiplying the numerator of one fraction by the denominator of another fraction.
5	Step	Multiply 5 x 72 and 6 x ? and set them equal to each other Multiply 5 x 72,	\$5 \times 72\$ = \$6 \times ?\$ 360 = \$6 \times ?\$
6	Step	To solve for?, we divide both sides of the equation by 9.	\$360/6\$ = \$(6 \times ?)/6\$ 60 =?
7	Step	So, the missing number in the equivalent fraction is 9. Therefore,\$5/6 = 60/72\$
8	Answer	Option	C
9	Sumup	Can you summarize what you’ve understood in the above steps?
10	Choice.A	This option is incorrect because 50 does not create an equivalent fraction when divided by 72 in the denominator	\$50\$
11	Choice.B	This option is incorrect because when 68 is dividedd by 72, it does not create an equivalent fraction	\$68\$
12	Choice.C	This option is correct, as shown above, when the numerator is 60, the resulting fraction is equivalent to \$5/6\$	\$60\$
13	Choice.D	This option is incorrect because 59 does not create an equivalent fraction when divided by 72 in the denominator	\$59\$
14	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Identify the missing number in the given equivalent fraction \$15/18\$ and \$30/36\$=\$?/72\$.

Step

To find the greatest common divisor (GCD) for each number. Factors of 15 is
Factors of 18 is
Factors for 30 is
Factors for 36 is

1, 3, 5, 15
1, 2, 3, 6, 9, 18
1, 2, 3, 5, 6, 10, 15,30
1, 2, 3, 4, 6, 9, 12, 18, 36

Step

The GCD for 15 and 18 is 3
The GCD for 30 and 36 is 6
Divide both the numerator and the denominator by the GCD

\$(15 ÷ 3)/(18 ÷ 3) = 5/6\$
\$(30 ÷ 6)/(36 ÷ 6) = 5/6\$

Step

Cross-multiplying involves multiplying the numerator of one fraction by the denominator of another fraction.

Step

Multiply 5 x 72 and 6 x ? and set them equal to each other Multiply 5 x 72,

\$5 \times 72\$ = \$6 \times ?\$
360 = \$6 \times ?\$

Step

To solve for*?*, we divide both sides of the equation by 9.

\$360/6\$ = \$(6 \times ?)/6\$ 60 =?

Step

So, the missing number in the equivalent fraction is 9.
Therefore,\$5/6 = 60/72\$

Answer

Option

Sumup

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

Choice.A

This option is incorrect because 50 does not create an equivalent fraction when divided by 72 in the denominator

\$50\$

Choice.B

This option is incorrect because when 68 is dividedd by 72, it does not create an equivalent fraction

\$68\$

Choice.C

This option is correct, as shown above, when the numerator is 60, the resulting fraction is equivalent to \$5/6\$

\$60\$

Choice.D

This option is incorrect because 59 does not create an equivalent fraction when divided by 72 in the denominator

\$59\$

Sumup

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

Discussion: Step1 Step2 Step3 Step4 Step5