All categories

3 years ago

How to convert decimals into fractions in simplest form

1 answer:

5 0

For example, lets take $\frac{25}{100}$

We need to first factor the numerator and denominator to find the common numbers which we can simplify it by.

$\frac{25}{100} = \frac{5 \times 5}{5\times 5\times 4}$

If we divide by 5 x 5 on both the numerator and denominator because both of them have it in common, we will get the simplest form.

$\frac{5 \times 5\div 5 \div 5}{5\times 5\times 4\div 5\div 5} = \frac{1}{4}$

You might be interested in

The volume of a cylinder is given by the formula V=πr²h, where r is the radius of the cylinder and h is the height. Suppose a cy

kondaur [170]

Answer:

Step-by-step explanation:

We know that the volume of a cylinder is given by the formula:

$V=\pi r^2h$

And we want to find the expression that represents the volume when the radius is (x+8) and the height is (2x+3).

So, let's substitute (x+8) for r and (2x+3) for h. This yields:

$V=\pi (x+8)^2(2x+3)$

Let's expand.

Expand the square term first. We can use the perfect square trinomial pattern, which is:

$(a+b)^2=a^2+2ab+b^2$

Here, our a is x and b is 8. So:

$V=\pi (x^2+2(x)(8)+(8)^2)(2x+3)$

Simplify:

$V=\pi (x^2+16x+64)(2x+3)$

Expand further. This time, we will use the distribute property. So:

$V=\pi ((x^2+16x+64)(2x)+(x^2+16x+64)(3))$

Multiply:

$V=\pi((2x^3+32x^2+128x)+(3x^2+48x+192))$

Combine like terms:

$V=\pi((2x^3)+(32x^2+3x^2)+(128x+48x)+(192))$

Add:

$V=\pi(2x^3+35x^2+176x+192)$

Distribute the π:

$V=2\pi x^3+35\pi x^2+176\pi x+192\pi$

So, our answer is C.

And we're done!

8 0

4 years ago

Read 2 more answers

Rafael wrote the statements shown in the chart below: Statement Description 1 If a point lies outside a line, then exactly one p

koban [17]

Answer:

The correct option is A.

Statement 1 is a theorem because it can be proved, and Statement 2 is a postulate because it is a true fact

Step-by-step explanation:

The first statement is:

If a point lies outside a line, then exactly one plane contains both the line and the point.

It is a theorem. A theorem is a statement that can be demonstrated to be true by using operations and facts that were already known.

Second statement states that:

If two points lie in a plane, then the line joining them lies in that plane.

It is a postulate. A postulate is a statement which is also known as axiom which is taken to be true without any proof. Theorems and Lemmas are derived from it.

Therefore the correct option is A.

Statement 1 is a theorem because it can be proved, and Statement 2 is a postulate because it is a true fact....

5 0

3 years ago

Complete the table below

cupoosta [38]

Okay I just saw your post and I’m at my church class right here now so I’m waiting to hear back to see how much I will get to church class and then what you do to help us get your thoughts together for me and my dad to see your son and then we go for church class and then

6 0

2 years ago

The table below shows how much joesph has saved the first two weeks

mezya [45]

Answer:

wheres the table

Step-by-step explanation:

4 0

3 years ago

A lender estimates the closing costs on a home loan of $50,000 as listed below.

nikdorinn [45]

Answer:

Step-by-step explanation: because the lender estimated 6.2% of the home loan in closing costs which does not fall between 3 - 5%. is the answer

3 0

3 years ago

Read 2 more answers