Operation of Fractions.
The process of learning fractions is considered to be 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. Many fraction problems also require that more than one basic math operation be utilized.
Addition, Division, Subtraction and multiplication are the four basic math operations. In order for one not to struggle in maths, they must first gain proficiency in the four areas mentioned above. Mastery of fractions comes from practicing them regularly. In this article, I will present various examples to demonstrate how the four math operations come into play with solving fractions.
Adding fractions (same denominator)
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When adding five-ninths and two-ninths, you simply add the numerators of 5 and 2, which become 7. The denominator being the same which is 9, remains the same.
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Addition of fractions with different denominators
The first step is to make the two denominators equal before carrying out addition. The denominators here are 8 and 12. after identification of the denominator, determine the least number that can multiply both 12 and 8. 24 is the lowest number that can be multiplied to the denominators. After finding a common denominator, one goes further to convert each fraction to having it as its denominator. For 4/8, you will multiply both numbers by 3 to come up with 12/24;For 3/12, you will multiply both numbers by 2 to come up with 6/24. 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
It involves the numerator and denominator multiplication.
How to multiply fractions and reduce them to their simplest form.
To reduce the fractions, one cross cancels the denominators and numerator. Multiply the numerators and denominators.
Dividing fractions (simple problem)
When fractions are being divided, you need to “flip” the second fraction and change the operation sign from division to multiplication. 11/7 results from 7/11. upon flipping the second fraction, it is then multiplied.
Dividing fractions (reduced to simplest form)
Flip 7/8 into 8/7 and change the sign from division to multiplication. Then replace the division sign with the multiplication sign and carry out the operation. The results obtained which is 24/63 can further be reduced. The common factor of the resulting fraction is 3, divide both of them by it.
Division of fractions reduced to their simplest forms.
Flip 18/15 into 15/18 and change the sign from division to multiplication. The resulting fractions can further be reduced by cross cancelling. The common factor between the numerator of the first fraction and the denominator of the second fraction is 18. The second part of the fractions also have a common factor so as to cross cancel them. You are now multiplying 2/3 and 1/1.