Addition and Subtraction

Adding and subtracting two fractions can be done in two steps:

1. Equalize the denominator of the two fractions.
2. Add / subtract the numerator for the two fractions.

An example of adding fractions is as follows:

Multiplication

It is easy to multiply two fractions by multiplying one fraction’s numerator by another and multiplying one fraction’s denominator by another. An example of multiplying fractions is as follows:

Division

The method of dividing two fractions is similar to the method of multiplying two fractions, except that the multiplication you do is cross multiplication. An example of dividing fractions is as follows:

What is Least Common Multiple Calculator

The least common multiple of two numbers is the number that can divide by two without remainder. The differences between KPK and FPB are:

• FPB is found based on a factor of two numbers. How to find FPB can be seen in this post.
• The LCM is found based on the multiple of two numbers.

How to Find Least Common Multiple

There are two ways you can find the LCM for two numbers. The first way is to calculate the multiple of each number you are looking for, then find the multiple of the two numbers. An example of finding the LCM of 6 and 10 is:

• Find the multiple of 6. The multiples of 6 are: 6, 12, 18, 24, 30, …
• Find multiples of 10. The multiples of 10 are: 10, 20, 30, …
• Based on these multiples, it can be seen that 30 is the smallest multiple of 6 and 10. So 30 is the LCM of 6 and 10.

Unfortunately, this method is only easy to use for small numbers. To find the KPK from a large number, prime factorization can be used. The method is as follows:

1. Perform prime factorization for the number that the KPK is looking for. How to do prime factorization can be seen in this post.
2. Take the factors with the highest rank (appearing most frequently) and then multiply them together. The result is the KPK that is sought.

For example, finding the LCM of 100, 125, and 130 is as follows:

1. Prime factorize the numbers 100, 125, and 130.The result is:
   • Prime factor of 100 = 5 x 5 x 2 x 2
   • Prime factor of 125 = 5 x 5 x 5
   • Prime factor of 130 = 13 x 5 x 2
2. Take the factor with the greatest power. The result is
   5³, 2², 13¹.
3. Multiply the factors to get the KPK. The result is:
   5³ x 2² x 13¹ = 6500.

What is Greatest Common Factor?

In order to know what the Largest Common Factor is, we need to know what a factor is. Factors are numbers that can divide a number without remainder. For example, the factors of the number 6 are 1, 2, 3, and 6 because they can divide by 6 without remainder.

Then what is the Biggest Faction Factor or FPB? Common Factors are factors of two or more numbers that can divide by two or more numbers without remainder. For example the factors of the number 12 are 1, 2, 3, 4, 6, and 12. We already know that the factors of the number 6 are 1, 2, 3, and 6. Then the Common Factor of 6 and 12 is 1, 2, 3, and 6 because these factors divide 6 and 12 without remainder.

The greatest common factor is the greatest common factor. Therefore, it is known that the GCF of 6 and 12 is 6 because 6 is the largest number that divides 6 and 12 without remainder.

How to Find It?

The easiest way to find FPB is:

1. Factor the figures for which the FPB will be sought. How to do the factorization is described in this post.
2. Find the common factor based on the result of the factorization.
3. Find the greatest factor of the common factors found.

Factorization

What is the factor of a number?

What is meant by a factor of a number is a number that can divide into whole numbers without remainder. For example, one of the factors of the number 12 is 6 because 6 can divide 12 without a remainder.

How to Find the Factors of a Number

An easy way to factor in a number is to check any multiplication that results in the number you are factoring for. For example, to find the factor of the number 6, we can find any multiplication that gives 6.

• 1 x 6 = 6
• 2 x 3 = 6

Now that we know what multiplications are 6, we can see that the factors of 6 are 1, 2, 3, and 6.

What are Factor Pairs?

Factor pairs are pairs of numbers that, when multiplied, return the number of those factors. For example, the factor pairs of 6 are (1, 6) and (2, 3) because these pairs are multiplied by 6.

What is Prime Factor?

Prime factor is a factor of a number which is a prime number. Prime numbers are numbers that are only divisible by 1 and the numbers themselves are like 2, 3, 5, and so on. For example, the prime factors of the number 12 are 2 x 2 x 3.

How to Find the Prime Factor of a Number

Prime factorization is a way to find the prime factors of a number. The way to do prime factorization is to divide the number you are looking for by prime numbers in a row until the quotient is 1n or prime numbers like 2 and 3.For example, to find the prime factor of 12 is:

1. 12 Divided by 2, the result is 6.
2. 6 diveded by 2, the result is 3.
3. 3 diveded by 3, the result is 1.

An example of a prime factorization tree of 12 is:

Therefore, the prime factor of 12 is 2 x 2 x 3.

Please note that in calculating the area and perimeter of the rectangle we use the following formula:

• Area= p x l
• Circumference = 2(p+l)

Other complete formulas can be seen in the table below

How to calculate the area and perimeter of a rectangle is very easy in comparison with other buildings. So with this formula we can easily find out the area and perimeter.

Characteristics and Characteristics of a Rectangle

The rectangle has the following characteristics and characteristics, this will make it easier for us to recognize a rectangle.

1. Have 2 pairs of parallel and equal sides.
2. One of the longer sides is called the unit of length (p).
3. One of the shorter sides is called the unit width (l).
4. Has 4 right angle points (with an angle of 90 °).
5. Have a diagonal (d) that is the same length.

Example 1: Calculating the Area of a Rectangle

You know that the length of a rectangle is 20 cm and the width is 5 cm. What is the area of the rectangle.

L = pxl = 20*5 = 100 CM

Example 2: Calculating the Perimeter of a Rectangle

Given that the length of a rectangle is 30 CM with a width of 10 cm, what is the circumference of the rectangle

K = 2(p+l) = 2(30+10) = 2 * 40 = 80 CM

Example 3: Find the Length if area and width are known

A rectangle is 100 CM wide by 4 CM wide, what is the length of the rectangle?

Length= L/l = 100/4 = 25 CM

Example 4: Find the Length if you know the perimeter and width

A rectangle has a circumference of 80 CM by a width of 4 CM, what is the length of the rectangle?

Length= (K:2) -l = (80/2) – 4 = 40-4 = 36 cm

Area= p x l = 4 * 36 = 144 cm

Radius and Diameter of Circle Calculator base on area and circumference inputed value