Learning Task 3: Solve The Following Problems.Write Your Solution In Your Notebook. 1.a…
Learning Task 3: Solve the following problems.Write your solution in your notebook.
1.a room is 8 2/3 m by 5 1/4 m.What is the area of the room?
2.A group of volunteers packed 198 bags of rice.Each bag contained 3 1/4 kilo of rice.How many kilograms of rice did the volunteers pack?
3.A baker uses 3 3/5 tablespoon of melted butter for every kilogram of flour.How many tablespoons of melted butter he used for 13 1/2 kilograms of flour?
4.Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard.She gave Php 1,000.00 to the cashier.How much change will she receive?
Please Answer With Solutions
Answers:
1. A = [tex]\frac{91}{2}[/tex] or 45.5 sq.m
2. 643 [tex]\frac{1}{2}[/tex] or 643.5 kilograms of rice
3. 48 [tex]\frac{3}{5}[/tex] or 48.6 tbsp of butter
4. P973.00
Step by step process:
1. Area = Length x Width
A = 8 [tex]\frac{2}{3}[/tex] x 5 [tex]\frac{1}{4}[/tex]
= [tex]\frac{26}{3}[/tex] x [tex]\frac{21}{4}[/tex]
A = [tex]\frac{91}{2}[/tex] or 45.5 sq.m
2. Total amount of rice = 198 x 3 [tex]\frac{1}{4}[/tex]
= [tex]\frac{198}{4}[/tex] x [tex]\frac{13}{4}[/tex]
= [tex]\frac{2574}{4}[/tex] or [tex]\frac{1287}{2}[/tex]
= 643 [tex]\frac{1}{2}[/tex] or 643.5 kilograms of rice
3. Total amount of butter = 3 [tex]\frac{3}{5}[/tex] x 13 [tex]\frac{1}{2}[/tex]
= [tex]\frac{18}{5}[/tex] x [tex]\frac{27}{2}[/tex]
=
= 48 [tex]\frac{3}{5}[/tex] or 48.6 tbsp of butter
4. Cost of linen cloth = P72.00/yd x yds.
= x
= or P27.00
Change = P1000.00 – P27.00
= P973.00
Additional Information:
There are 3 simple steps to multiply fractions
1. Multiply the top numbers (the numerators).
2. Multiply the bottom numbers (the denominators).
3. Simplify the fraction if needed.
EXAMPLES:
1. [tex]\frac{1}{2}[/tex] x [tex]\frac{2}{10}[/tex]
Step 1: Multiply the top numbers (the numerators)
1 x 2 = 2 (2 is the new numerator)
Step 2: Multiply the bottom numbers (the denominators)
2 x 10 = 20 (20 is the new denominator)
Step 3: Simplify
Since [tex]\frac{2}{20}[/tex] is the new fraction, it can be simplified as [tex]\frac{1}{10}[/tex]
Answer: [tex]\frac{1}{10}[/tex]
2. [tex]\frac{1}{3}[/tex] x [tex]\frac{5}{15}[/tex]
Step 1: Multiply the top numbers (the numerators)
1 x 5 = 5 (5 is the new numerator)
Step 2: Multiply the bottom numbers (the denominators)
3 x 15 = 45 (45 is the new denominator)
Step 3: Simplify
Since [tex]\frac{5}{45}[/tex] is the new fraction, it can be simplified as [tex]\frac{1}{9}[/tex]
Answer: [tex]\frac{1}{9}[/tex]
3. [tex]\frac{2}{3}[/tex] x [tex]\frac{2}{8}[/tex]
Step 1: Multiply the top numbers (the numerators)
2 x 2 = 4 (4 is the new numerator)
Step 2: Multiply the bottom numbers (the denominators)
3 x 8 = 24 (24 is the new denominator)
Step 3: Simplify
Since [tex]\frac{4}{24}[/tex] is the new fraction, it can be simplified as [tex]\frac{1}{6}[/tex]
Answer: [tex]\frac{1}{6}[/tex]
To learn more about the multiplication of fractions, follow the links below:
brainly.ph/question/4651291
brainly.ph/question/17786690
I hope this helps!
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