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
1 comment
It's very boring :)