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3 years ago

Explain how you can find the simplest form of 100/1000

2 answers:

8 0

You can find the simplest form by dividing both the numerator and denominator by the GCF (greatest common factor). 100 divides into 100 and 1,000 equally so that can be the GCF used to reduce the fraction into its simplest form.

$\frac{100/100}{1000/100}$

$\frac{1}{10}$

The simplest form is $\frac{1}{10}$ .

Nezavi [6.7K]3 years ago

5 0

When finding the simplest form of a fraction, think of the GCF, or greatest common factor between the two numbers (100 and 1000)

In this case, it would be 100 as the greatest number they are divisible by is 100.

Then, to reduce the fraction, divide the top and bottom number by the GCF.

100/1000=1/10

The simplest form is 1/10

Hope this helped :)

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Which situation could NOT represent a proportional relationship?

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Answer:

The weight in x weeks of a puppy that gains 2 pounds per week if it starting weight is 8 pounds.

Step-by-step explanation:

Given:

A proportional relationship is one in which one variable varies directly with the other. Let the dependent variable be y and independent variable be y.

If y is directly proportional to x, then,

$y=kx$ , where, k is a constant of proportionality.

Now, let us check each option and try to express a relationship between them.

Option 1:

The weight in $x$ weeks of a puppy that gains 2 pounds per week if it starting weight is 8 pounds.

Let the weight be represented by $W$ . Initial weight is 8 pounds.

Weight gain per week is 2 pounds. So, weight gain in $x$ weeks is $2x$ .

Therefore, total weight is, $W=8+2x$

This is a linear relationship but not a proportional relationship as it is not of the form $y=kx$ . So, option 1 could NOT represent a proportional relationship.

Option 2:

Cost of purchasing 1 pound of bananas is $ 0.55. So, cost of purchasing $p$ pounds of bananas will be $C=0.55p$ . It is of the form $y=kx$ . So, it represents a proportional relationship.

Option 3:

Number of gallons of water in 1 barrel is 50. So, number of gallons in $x$ barrels will be $N=50x$ . It is of the form $y=kx$ . So, it represents a proportional relationship.

Option 4:

Amount earned by an employee in 1 hour is $ 9.25. So, amount earned in $h$ hours will be $A=9.25h$ . It is of the form $y=kx$ . So, it represents a proportional relationship.