Table of Contents
What is a Fraction?
A fraction is a number that is expressed as a ratio of two integers. The numerator is the top number in the fraction and the denominator is the bottom number. The fraction 1/2, for example, means one-half.
Like Fractions
and Decimals, Percentages are a way of expressing a part of a whole. A percentage is a number expressed as a fraction of 100. For example, 25% is the same as 25/100, or 1/4.
To find a percentage of a number, multiply the number by the percentage. For example, to find 60% of 125, multiply 125 by 60% to get 75.
Some Important Points to Remember
There are a few important points to remember when it comes to explaining the difference between a hurricane and a tornado.
First, a hurricane is a type of storm that forms over the water and is characterized by very strong winds. A tornado, on the other hand, is a type of storm that forms over land and is characterized by very strong winds.
Second, a hurricane can cause a lot of damage due to its high winds, while a tornado can cause a lot of damage due to its high winds and also due to the fact that it can pick up objects and throw them around.
Third, a hurricane generally moves slowly, while a tornado generally moves quickly.
Fourth, a hurricane is typically much larger than a tornado.
Finally, a hurricane can last for many days, while a tornado generally lasts for only a few minutes.
Arithmetic Operations on Like Fractions
To add fractions, simply add the numerators (top numbers) and keep the denominator (bottom number) the same.
For example, to add 1/4 + 2/5, you would add 1 + 2 to get 3/5.
To subtract fractions, subtract the numerators (top numbers) and keep the denominator (bottom number) the same.
For example, to subtract 1/4 – 2/5, you would subtract 1 – 2 to get -1/5.
To multiply fractions, multiply the numerators (top numbers) and keep the denominator (bottom number) the same.
For example, to multiply 1/4 by 2/5, you would multiply 1 by 2 to get 2/5.
To divide fractions, divide the numerators (top numbers) and keep the denominator (bottom number) the same.
For example, to divide 1/4 by 2/5, you would divide 1 by 2 to get 1/2.
Unlike Fractions
Unlike fractions, decimals are always written with a decimal point.
0.5
7.6
Unlike fractions, decimals can have a value that is a whole number or a fraction.
2.4
5.7
Unlike fractions, decimals can have a value that is greater than 1.
2.7
5.9
Arithmetic Operations on Unlike Fractions
To add or subtract fractions with different denominators, find a common denominator and add or subtract the numerators.
To multiply fractions, multiply the numerators and denominators.
To divide fractions, divide the numerators by the denominators.
Cross Multiplication Method
The cross multiplication method is a quick way to multiply two numbers together. To use this method, you first multiply the numbers together in the traditional way, and then multiply the resulting number by the second number.
For example, to multiply 9 and 3, you would first multiply 9 and 3 to get 27. Then, you would multiply 27 by 3 to get 81.
Lcm Method
The Lcm Method is a way of finding the least common multiple (Lcm) of two or more numbers. The Lcm is the smallest number that is divisible by all of the numbers that are being multiplied together.
To find the Lcm using the Lcm Method, follow these steps:
1. Write out the numbers that you are multiplying together.
2. Draw a line under the numbers.
3. Draw a box around the numbers.
4. Write the number 1 in the box.
5. Draw a line under the 1.
6. Draw a line under the box.
7. Multiply the numbers in the box together.
8. Write the result of the multiplication in the box.
9. Write the number 1 above the result.
10. Repeat steps 6-9 for each number in the problem.
11. Write the final result at the bottom of the box.