Students may find it challenging to understand the notion of decimals. There are, however, ways to convey decimals that aid in the student’s grasp of what they are and how they operate. For some learners, learning decimals using purely abstract techniques doesn’t work.
Using common examples is a great way to aid kids in understanding decimal concepts and even help in solving conversion problems like showing .375 as a fraction. Weekly lists of the best-grossing movies are published by regional newspapers. These are organised based on how much money each film brought in.
This is a practical illustration of how decimals are applied, and it also uses a subject that most kids find intriguing.
Money is a helpful tool when working with simple decimals. It helps when explaining how to add or subtract decimals. Money is a fantastic hands-on learning tool because it is based on hundreds and change is illustrated using decimals. Students might be instructed to write the decimals that represent money and transactions using play money.
Students must be shown where and how decimals are applied in daily life. Understanding becomes considerably simpler once the student realises that decimals are a common occurrence and not a foreign language.
Prices for commonly purchased items are expressed in decimals.
Sports activities like batting averages employ them. Passing percentages are used to rate quarterbacks. When teaching important topics, it is beneficial for pupils to be exposed to common uses of decimals.
Changing a Decimal to a Fraction
Step 1: Make a fraction with a 1 as the denominator and the decimal number as the numerator(bottom number).
Step 2: Multiply the decimal places to remove them. First, determine how many spaces there are after the decimal. Next, multiply the numerator and denominator by 10x, where x is the number of decimal places.
Step 3: Reduce the fraction. Divide the numerator and denominator by the greatest common factor (GCF) after determining the GCF for the numerator and denominator.
Step 4: If at all possible, convert the remaining fraction to a mixed number fraction.
These were some easy steps in learning the conversion from decimal to fraction, which help in presenting numerals like .375 as a fraction.
Using the Maths Operations with Fractions
Learning fractions can be challenging. Every fraction has a numerator (top number) and denominator (bottom number) (denominator). There are several fractions-related issues where you have to go through numerous phases to solve them. Additionally, many fraction problems call for the use of multiple elementary mathematical operations. Addition, subtraction, multiplication, and division are the four operations. You will have trouble using fractions if you are weak in any of these areas. It takes a lot of practice to master fractions. I’ll give several examples in this article to show how the four math operations are used when resolving fractions.
As an example, add fractions (same denominator) 5/9 + 2/9 = 7/9
Five-ninths and two-ninths are added by merely adding their respective numerators, which results in the number seven. The number 9 continues to be the denominator. The response is 7/9th.
As an example, add fractions (same denominator and reduced to simplest form) 5/10 + 3/10 = 8/10 = 4/5 The sum of the numerators is 8. The numerator remains at 10. Eight and tenths are the response. Eight tenths, however, can be split into a smaller equal fraction. The highest number (common factor) that may be evenly split into the numerator and denominator must be determined. In this case, 8 and 10 can both be divided by 2. The ultimate solution is four-fifths, which may be calculated from eight-tenths.
A third example is adding fractions (different denominators and reduced to the simplest form) 4/8 + 3/12 = 12/24 + 6/24 = 18/24 = 3/4
Before you may add, the two denominators must be changed into the same denominator. Here, the numerators are 8 and 12. You must first determine the lowest number that both 8 and 12 may be multiplied by in an equal amount. 24 is the lowest possible number. Then, you must change 4/8 and 3/12 into fractions with 24 as the denominator. You need to multiply both values by 3 to get 12/24 for 4/8. You need to multiply both integers by 2 to get 6/24 for 3/12.
The result will be 18/24 after adding 12/24 and 6/24. Now, simplify 18/24 to its simplest form. Six is the highest common factor between 18 and 24. 6 divided by 18/24 is 3/4.
Explanation #4: Removing fractions (same denominator and reduced to simplest form) 18/25 – 8/25 = 10/25 = 2/5
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Ten is subtracted from the numerators. The numerator stays at 25. 10/25 can be lowered even further. You may divide both 10 and 25 by 5. Two-fifths is the solution.
Ex. 5: Fraction subtraction (different denominators and reduced to simplest form) 30/40 – 15/60 = 90/120 – 30/120 = 60/120 = 1/2
Before you can subtract, the two denominators must be changed into the same denominator. Here, 40 and 60 serve as the denominators. Find the lowest number that both 40 and 60 may be multiplied by in an equal amount. 120 is the lowest number. Following that, you must divide both 30/40 and 15/60 into fractions with 120 as the denominator. You need to multiply both values by 3 for 30/40 to get 90/120. You need to multiply both values by 2 to get 30/120 for 15/60. Now you can deduct 90/120 and 30/120 to get 60/120. You may divide both 60 and 120 by 60. The ultimate answer is 1/2, which is the result of 60/120.
Example 6: Dividing by a fraction (simple problem) 7/8 x 3/4 = 21/32
To find the solution, simply multiply the numerators and denominators. Fraction division in Example 7 (simple problem)
5/9 / 7/11 = 5/9 x 11/7 = 55/63
It is necessary to “flip” the second fraction when dividing fractions to alter the operation sign from division to multiplication. Now, 7/11 is 11/7. Now add the fractions together.
