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Zielflug [23.3K]
2 years ago
14

Big Points for this one. This is my big cousins account, I’m in 5th grade and I need help

Mathematics
2 answers:
uysha [10]2 years ago
7 0

Answer:

7/8

Step-by-step explanation:

Use this format for the problem:

Total pounds of candy you received = Pounds of candy received from Grandmother + Pounds of candy received from Sister + Pounds of Candy received from Best Friend

  • <em>Add them all up to find the total you received.</em>
  • <em>Total pounds of candy you received = 1/4 + 1/2 + 1/8</em>

<em />

1. Simplify the expression

<em />\frac{1}{4}+ \frac{1}{2}+ \frac{1}{8}

Find the lowest common denominator:

\frac{\left(1\cdot 2\right)}{\left(4\cdot 2\right)}+\frac{\left(1\cdot 4\right)}{\left(2\cdot 4\right)}+\frac{1}{8}

Multiply the denominators:

\frac{\left(1\cdot 2\right)}{8}+\frac{\left(1\cdot 4\right)}{8}+\frac{1}{8}

Multiply the numerators:

\frac{2}{8}+\frac{4}{8}+\frac{1}{8}

Combine the fractions:

\frac{\left(2+4+1\right)}{8}

Combine the numerators:

\frac{7}{8}

Hence, the answer is 7/8.

___________

Why learn this

- Let's say you invite ten friends over for movie night and order four pizzas to split. How do you divide the pizza evenly so everyone gets the same amount of pizza? If each section of the couch can fit 1+1/5 people, how many sections would there need to be to accommodate all of your friends? The whole world is made up of little bits and pieces that are part of something larger, and the key to understanding them is fractions.

Fractions are the mathematical representation of any whole thing that is made up of multiple parts. Knowing how to manipulate them using operations like addition, subtraction, multiplication, and division is one of the most widely applicable math skills in everyday situations and provides an important foundation for other math concepts you will encounter.

Terms and topics

  • Operations with fractions

__________________

Level:  5th grade

Unit: Operations with fractions

Pavlova-9 [17]2 years ago
6 0
Answer: 7/8 pound

Step-by-Step Explanation:

From Grandmother = 1/4 pound
From Sister = 1/2 pound
From Best Friend = 1/8 pound

Therefore,
= 1/4 + 1/2 + 1/8
= 2/8 + 4/8 + 1/8
= 6/8 + 1/8
=> 7/8

Total Pounds of Candy = 7/8 pound

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How many kilograms of a 5% salt solution and how many kilograms of a 15% salt solution must be mixed together to make 45kg of an
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Answer:

31.5 kilograms of a 5% salt solution and 13.5 kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

Step-by-step explanation:

Let us assume that the number of kilograms of a 5% salt solution used be x .

Let us assume that the number of kilograms of a 15% salt solution used be y .

As given

A 5% salt solution and 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

Equation becomes

x + y = 45

5% is written in the decimal form .

= \frac{5}{100}

= 0.05

15% is written in the decimal form .

= \frac{15}{100}

= 0.15

8% is written in the decimal form .

= \frac{8}{100}

= 0.08

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x + y = 45

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y = \frac{135}{10}

y = 13.5 kilograms

Put value of y in the equation

x + 13.5 = 45

x = 45 - 13.5

x = 31.5 kilograms

Therefore the 31.5 kilograms of a 5% salt solution and 13.5 kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

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