Learning fractions can be rather complicated. The main difference between a fraction and other numbers is that it has a numerator and a denominator. There are problems involving fractions which require several steps to be taken before you get to the solution. Various basic math operations are utilized in order to be able to solve most fractions.
The four operations are addition, subtraction, multiplication, and division. For one to be proficient in fractions, they must first understand the four areas mentioned above. Mastery of fractions comes from practicing them regularly. This article therefore aims at clearly articulating how to solve fractions while using math operations mentioned above.
Adding fractions (same denominator)
A Simple Plan: Calculators
It is only the numerators that are 2 and 5 that are added together. 9 is the denominator in this case and it remains the same.
9 Lessons Learned: Calculators
Addition of fractions with different denominators
The first step is to make the two denominators equal before carrying out addition. 12 and 8 are the denominators. The other consideration is to determine the lowest number which could be multiplied evenly to the denominator. 24 is the lowest number that can be multiplied to the denominators. You then need to convert both 4/8 and 3/12 into fractions that will have 24 as the denominator. In order to get 12/24 and 6/24 respectively the two fractions are multiplied by whole numbers 3 and 2. You will then add 12/24 and 6/24 to come up with 18/24.
How to multiply fractions;7/8 x 3/4 = 21/32
Simply multiply the numerators and denominators for the answer.
How to multiply fractions and reduce them to their simplest form.
To reduce a fraction, it is the numerator and the denominator that are cross cancelled. Upon reduction of the fractions, the bottom and top numbers are then multiplied to get the final answer.
How to divide simple fraction problems;5/9 / 7/11 = 5/9 x 11/7 = 55/63
When fractions are being divided, you need to “flip” the second fraction and change the operation sign from division to multiplication. The second fraction in the example above is 7/11 which is changed to 11/7. You will now multiply the fractions.
Dividing fractions (reduced to simplest form)
Flip 7/8 into 8/7 and change the sign from division to multiplication. Multiply the fractions. One goes further to reduce the results obtained by determining a common factor. Therefore the common factor is 3, divide the numbers using it.
How to divide fractions that are reduced to their simplest form 36/45 / 18/15 = 36/45 x 15/18 = 2/3 x 1/1 = 2/3;
First, 18/15 is flipped into 15/18 and multiplication sign is used to replace the division sign. 15/18 and 36/45 are further reduced. The common factor between the numerator of the first fraction and the denominator of the second fraction is 18. Cross canceling is now done for the numerator of the second fraction (15) and the denominator of the first fraction (45). Finally, the resulting fractions are multiplied to get the answer.