Word problem lesson, Example 2

Post no: 03

Good afternoon everyone

Hope you are doing good,

I was busy since I want this in the morning, but I was busy teaching my students.

Am sorry

Now am back here again,

Today I will share with you more examples of word problem

In case you missed my first class, and you wish to check out click the link below

https://read.cash/@Maxlucky/simple-logic-to-solve-any-mathematics-word-problem-f975ad50

Class: any class

Topic: word problem

Reference book: essential mathematics for jss3 by A.J.S. Oluwasanmi.

Objective: By the end of the students should be able to understand the topic.

Presentation: The teacher presents the lesson with the following contents.

WORD PROBLEM WITH FRACTIONS.

EXAMPLE2:

Find the one-quarter of the sum of the product of 2*1/8 and 3*1/5 and the product of 1*1/2 and 4/9.

Solution

The first step translates it to mathematics expression.

Read the question carefully. Okay look at this breakdown

One- quarter means 1/4,

Okay you can slit the question in this way

1) one-quarter= 1/4

2) of means in this situation multiplication(×)

3) sum means(+)

4) product of 2*1/8 and 3*1/5

=(2*1/8 × 3*1/5)••••••••••••••••(1)

5) product of 1*1/2 and 4/9

= (1*1/2 × 4/9)••••••••••••••••••(2)

Okay now more explanation

From the slit 3 above or the question,

the sum of the product of 2*1/8 and 3*1/5 and the product of 1*1/2 and 4/9.

Means.

Equation (1) + equation(2)

Okay let look at equation 1

(2*1/8 × 3*1/5)

This means both sides are in mixed fractions, now convert it to improper fractions. Now

You all know the fraction two things which are

the numerator ( which is the upper number) and Denominator ( which is the below number).

Okay let go, convert

First part

2*1/8=

8×2+1/8 =17/8 •••••••••••(3)

Second part

3*1/5 =

5×3+1/5 =16/5,

Therefore,

Equation(1) becomes

17/8×16/5

From above if you look at it very well, you note that 8 can divide 16,

Now 8 goes in 16 is 2 times

So, we left with 17×2/5, which is equal to 34/5.

See in below image

As shown in the image below.

From equation(2)

2×1+1/2= 3/2

Therefore,

3/2×4/9= 2/3 as shown below.

So, equation(2) becomes

2/3

So let bring it all together

1/4[34/5+2/3]

Now let find the LCM of the number in the bracket, which is 5 and 3, the LCM is 15.

Therefore,

1/4[102 + 10/15]

1/4[112/15]

1/4×112/15

4 can goes in 112 at 28 times,

Then, we have

28/15. Or 1*13/15.

See, in this image below

Hope you all understand.

Thanks very much

Watch out for the next example

................

Thanks for your love