Simplifying Fractions นายสมชาย ผลชัย โรงเรียนจุฬาภรณราชวิทยาลัย นครศรีธรรมราช สพม.12 1 Preface This mathematics practice book for M.4 has been developed for English reading skills, with learning contents. It is aimed at guiding students and directing students to obtain the essential knowledge for reading mathematics skill. The content knowledge including Simplifying Fractions, Prime or Composite?, Exponential Notation, and Converting Fractions to Decimals are also focused on. The teaching and learning guidelines presented in this practice book lend the characteristic of learning development through mathematical processes. The focus on conceptual development using mathematics content linked to reading skill development and using mathematical processes in answering the questions from reading. This mathematics practice book consists of 4 units. The contents are introduced with some revision and linkages with the existing understanding so that the students would systematically learn. Teachers should also provide additional exercises to further develop students’ skills. In addition to supporting students in the content knowledge state in the reading skill, this mathematics practice book also helps promote students to have sufficient knowledge in mathematics reading, while developing the ability to use mathematics as a tool for learning and studying higher levels of mathematics. Somchai Ponchai
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Simplifying Fractions 1 · 2014-10-27 · It is usually best to show an answer using the simplest fraction ( 1/ 2 in this case ). That is called Simplifying, or Reducing the Fraction
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This mathematics practice book for M.4 has been developed for English reading skills, with learning contents. It is aimed at guiding students and directing students to obtain the essential knowledge for reading mathematics skill. The content knowledge including Simplifying Fractions, Prime or Composite?, Exponential Notation, and Converting Fractions to Decimals are also focused on.
The teaching and learning guidelines presented in this practice book lend the characteristic of learning development through mathematical processes. The focus on conceptual development using mathematics content linked to reading skill development and using mathematical processes in answering the questions from reading. This mathematics practice book consists of 4 units. The contents are introduced with some revision and linkages with the existing understanding so that the students would systematically learn. Teachers should also provide additional exercises to further develop students’ skills.
In addition to supporting students in the content knowledge state in the reading skill, this mathematics practice book also helps promote students to have sufficient knowledge in mathematics reading, while developing the ability to use mathematics as a tool for learning and studying higher levels of mathematics.
Numerator / Denominator We call the top number the Numerator, it is the number of parts you have. We call the bottom number the Denominator, it is the number of parts the whole is divided into.
Adding Fractions You can add fractions easily if the bottom number
To simplify a fraction, divide the top and bottom by the highest number that can divide into both numbers exactly.
Simplifying Fractions Simplifying (or reducing) fractions means to make the fraction as simple as
possible. Why say four-eighths (4/8) when you really mean half (1/2) ? How do I Simplify a Fraction ? There are two ways to simplify a fraction: Method 1 Try dividing both the top and bottom of the fraction until you can't go any
numerator /ˈnjuː.mə.reɪ.tə r / /ˈnuː.mə.reɪ.t ɚ/ noun [ C ] specialized the number above the line in a fraction In the fraction ¾, 3 is the numerator. Compare denominator
denominator /dɪˈnɒm.ɪ.neɪ.tə r / /-ˈnɑː.mə.neɪ.t ɚ/ noun [ C ] the number below the line in a fraction In the fraction ¾, 4 is the denominator. Compare numerator
equivalent /ɪˈkwɪv. ə l. ə nt/ adjective having the same amount, value, purpose, qualities, etc She's doing the equivalent job in the new company but for more money. Is $50 equivalent to about £30?
subtract /səbˈtrækt/ verb [ T ] to remove a number from another number Four subtracted from ten equals six. Compare add ; divide ; multiply
simplify /ˈsɪm.plɪ.faɪ/ /-plə-/ verb [ T ] to make something less complicated and therefore easier to do or understand the new simplified tax system He tried to simplify the story for the younger audience.
fraction /ˈfræk.ʃ ə n/ noun [ C ] a number that results from dividing one whole number by another, or a small part of
something Although sexual and violent crimes have increased by 10%, they remain only a tiny/small
fraction of the total number of crimes committed each year. frustrating /frʌsˈtreɪ.tɪŋ/ /-t ɪŋ/ adjective
making you feel annoyed or less confident because you cannot achieve what you want He doesn't listen to what I say and it's so frustrating.
confusing /kənˈfjuː.zɪŋ/ adjective describes something that makes you feel confused because it is difficult to understand We've got two people called Paul James working here, so it's a bit confusing! The instructions are terribly confusing. Could you help me with them, please?
process /ˈprəʊ.ses/ /ˈprɑː-/ noun [ C ] a series of actions that you take in order to achieve a result the peace process Increasing the number of women in top management jobs will be a slow process. This decision may delay the process of European unification.
practice /ˈpræk.tɪs/ noun ACTION 1. [ U ] action rather than thought or ideas It seemed like a good idea before we started, but in practice it was a disaster.
Write the letter of the correct match next to each word.
Simplifying Fractions
Any fraction that has the same number as its numerator (top number) and denominator (bottom number) is equal to one whole. The denominator tells how many equal parts the whole has been divided into, and the numerator tells how many of those parts you have. You could cut something into a million parts. As long as you keep all of those parts, you still have a whole.
Because we can have fractions that are equal to 1, we can use them to help use create equivalent fractions. We find common denominators when we add or subtract fractions. We then simplify fractions when we write our fi nal answer. When you multiply or divide by a fraction that is equal to 1, the value does not change. You are simply changing the number of pieces that the whole is cut into. When you use a fraction that is equal to 1 in this way, you can think of the whole fraction as a Big Giant One.
To simplify a fraction, divide by a Big Giant One. For example, if your fraction is 12/18 you can divide the top and the bottom both by the same number. This, too, can be frustrating and confusing. You might think, “What number?” Here’s how you can think about it: look at the numerator and the denominator. In this sample fraction, there is a 12 and an 18. Twelve is smaller than 18, so ask yourself if 12 divides evenly into 18. No, it doesn’t. Ask yourself what numbers you can multiply to get 12 as an answer. You want to choose the largest one you can think of, except for 12 itself.
May be you thought of 6 x 2. Ask yourself if 6 will divide evenly into 12. Yes, it will. Will it divide evenly into 18? Yes, it will. So 6 is the number you want to use. When you divide 12 by 6 your new numerator is 2. Divide 18 by 6, and your new denominator is 3. Your simplified fraction is 2/3.
You have divided 12/8 by 6/6. The 6/6 is the Big Giant One for this fraction.
Try this process the next time you need to simplify a fraction on your homework or on a test. The more you practice simplifying fractions, the easier it becomes. You’ll master fractions in no time!
Answer the following questions based on the reading passage. Don’t forget to go back to the passage whenever necessary to find or confirm your answers.
I believe I did this well because ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………….