What is 3/8 in simplest form

Answers

Answer 1
Answer:

The simplest form of 3/8 is 3/8 because the greatest commondivisor of 3 and 8 is 1.

To simplify the fraction 3/8, we need to find the greatest common divisor (GCD) of the numerator (3) and the denominator (8) and then divide both the numerator and denominator by the GCD.

The divisors of 3 are {1, 3}, and the divisors of 8 are {1, 2, 4, 8}.

The GCD of 3 and 8 is 1, as it is the largest number that divides both 3 and 8 without any remainder.

Dividing both 3 and 8 by the GCD (which is 1) doesn't change their values:

(3 ÷ 1) / (8 ÷ 1)

= 3/8

Since the GCD is 1, the fraction 3/8 is already in its simplest form.

Hence, the simplest form of 3/8 is 3/8.

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Answer 2
Answer: 3/8 is the simplest form. It cannot go any further because 8 divide by 3 equals a decimal. 

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Adrian placed an X-Box on layaway as a Christmas gift. The price of the X-Box was $400.00. The store charges a 5% layaway fee and requires a 15% down payment. Equal installments must be paid each week for six weeks. Determine Adrian's weekly payments

Answers

Answer:

Adrian's weekly payments is $60

Step-by-step explanation:

* Let us explain how to solve the problem

- Adrian placed an X-Box on layaway as a Christmas gift

- The price of the X-Box was $400

- The store charges a 5% layaway fee

- A 15% down payment

- Equal installments must be paid each week for six weeks

- We need to find Adrian's weekly payments

* At first let us find the down payment

∵ The down payment is 15%

∵ The price of the X-Box was $400

∴ The down payment = (15)/(100)*400 = 60

The down payment is $60

∵ The store charges a 5% layaway fee

∴ The layaway fee = (5)/(100)*400 = 20

The layaway fee is $20

- The quantity which distributed in installments is the price of the

   X-box plus the layaway fee minus the down payment

∴ The installments quantity =  400 + 20 - 60 = 360

- It distributed into 6 equal installments must be paid each week

∴ Each installment = 360 ÷ 6 = $60

* Adrian's weekly payments is $60

A recipe calls for 2 cups of flour of flour to make 3 dozen cookies. Is 3 cups of flour enough to make 60 cookies?

Answers

Answer:

no it is not

Step-by-step explanation:

it would be 54

Answer:

No

Step-by-step explanation:

2 cups of flour --> 36 cookies

3 cups of flour   ----> x

2/3   =  36/x

x = 54 cookies

3 Cups of flour yields 54 cookies, but its not enough flour for 60 cookies.

How would I write these problems?

Answers

21) Total number of cups: 26

6) Solution of the equation: x = -12

7) Father's age: 40

4) Distance driven: 400 miles

Step-by-step explanation:

21)

Let's call:

h=10 cm the height of each cup

H=30 cm the total height available in the dispenser

We are told that each cup added to the stack add a height of

\Delta h = 0.8 cm

We can therefore solve the problem by writing the following equation:

H=h+N\Delta h

which means that the total height available (H) is filled by the height of one cup (h) + the number of additional cup multiplied by 0.8.

Solving for N:

N=(H-h)/(\Delta h)=(30-10)/(0.8)=25

And including the first cup, the total number of cups is

N+1=25+1=26

6)

The equation that we have to solve is

(5)/(2)x-1=-31

We proceed as follows:

First of all, we add +1 on both sides of the equation,

(5)/(2)x-1+1=-31+1\n(5)/(2)x=-30

Now we multiply by 2 on both sides:

(5)/(2)x\cdot 2=-30\cdot 2\n5x=-60

And now we divide both sides by 5:

(5x)/(5)=(-60)/(5)\nx=-12

7)

Let's call:

k = Karma's age

f = father's age

We are told that Karma is 13 years old, so

k = 13

Also, Karma's age is 2 years less than 3/8 of the father's age, so we can write

k=(3)/(8)f-2

By combining the two equations,

13=(3)/(8)f-2

And solving for f, we find:

(3)/(8)f=13+2\n(3)/(8)f=15\n3f=15\cdot 8 =120\nf=(120)/(3)=40

So, the father's age is 40.

4)

Let's call:

T = 16 the total volume of the tank (16 gallons)

We also know that the car burns 0.03 gallons per mile, so the amount of fuel consumed after x miles is

0.03 x

This means that the amount of fuel left after x miles is

16-0.03x

We also know that the amount of fuel left is 4 gallons, therefore:

16-0.03x=4\n0.03x=16-4\n0.03x=12\nx=(12)/(0.03)=400

So, 400 miles.

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$950.00 interest is 2.5% how much in 6 months

Answers

In 6 months you will have $961.875.
the amount is $961..88 hope it helped

Figure WXYZ is a rectangle with a semicircle added to its base. The length of the rectangle is 16 inches and the width is 7 inches. What is the perimeter of the figure? Use 3.14 to approximate pi.

Answers

The length of the rectangle is 16 inches and the width is 7 inches. What is the perimeter of the figure? Use 3.14 to approximate pi.

Perimeter of the rectangle = 2L + 2W

C =2 π r
C = 2 * 3.14 * L/2

Perimeter of the figure = L + 2W + C/2





How to find the perimeter and area of your classroom

Answers

Base times height is the area of the classroom the perimeter is all the sides added up