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Understanding 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. Most if not all of the fractions problems also require a student to combine various maths operations in order to solve them. There are four main math operations and that is subtraction, addition, division and multiplication. 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. This article therefore aims at clearly articulating how to solve fractions while using math operations mentioned above. 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. 9 is the denominator in this case and it remains the same.
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Fractions with different denominators, Addition; 4/8 + 3/12 = 12/24 + 6/24 = 18/24 = 3/4 . 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. You then need to convert both 4/8 and 3/12 into fractions that will have 24 as the 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. The other step is to add them up so as to get 18/24. In order to get the answer 18/24, they two fractions are added together. Multiplications Simply multiply the numerators and denominators for the answer. How to multiply fractions and reduce them to their simplest form. The two fractions can be reduced to simplest form by cross canceling out each other’s numerator and denominator. After the fractions have been reduced, the numerator and denominator are multiplied. Division of fractions. To work out division, one flips the second fraction and also changes the division sign to multiplication. 7/11 now becomes 11/7. You will now multiply the fractions. Dividing fractions when reducing them to the simplest form. Flip 7/8 into 8/7 and change the sign from division to multiplication. The second step is to change the sign into multiplication and then carry it out. 24/63 can be further reduced. Therefore the common factor is 3, divide the numbers using it. Dividing fractions (reduced to simplest form – cross canceling) Flip 18/15 into 15/18 and change the sign from division to multiplication. 36/45 and 15/18 can be reduced through cross canceling. Both 36(top number for the first fraction) and 18 (bottom part of the second fraction) have one common factor which 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.