A Group Of Volunteers Packed 198 Bags Of Rice. Each Bag Contained 3…

May 27, 2023 Math No Comments

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?

Answer:

Total amount of rice = 198 x 3[tex]\frac{1}{4}[/tex]

= [tex]\frac{198}{1}[/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

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.

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{4}{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:

I hope this helps!

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