Basic Concepts on Fraction
Fraction – is defined as a part of a whole. In some other books, it is defined as a number written in the form ab , where “a” and “b” are numbers and “b” is not equal to zero.
Basic Parts of a Fraction
* Numerator – the number above tells how many parts are taken.
* Denominator – the number below tells how many equal parts the whole is divided.
* Fraction bar – line that separates the two numbers. It also indicates division.
There are several kinds of fraction and they are grouped into two: INDIVIDUAL FRACTIONS and GROUP FRACTIONS Individual Fractions are taken as one. They are—
1. Proper Fraction - a fraction whose numerator is less than the denominator
Examples: 34 , 78 , 57
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Furthermore, arranging dissimilar fractions is just the same as similar fractions but, we have to make the fractions similar first before arranging them. Take note that in ordering dissimilar fractions; always use the given set of fractions.
Examples: Arrange the following from least to greatest.
49 , 79 , 29 , 89 , 59 29 , 49 , 59 , 79 , 89
Arranging the
Cell fractionation is a very important procedure in cell biology and can be very useful for studying different organelles. By fractionating, we mean separating or dividing the cell into different component parts.
In a certain theater, there are 16 empty seats out of 240 total seats. Write the ratio of empty seats to total seats as a fraction in simplest form. Then explain its meaning. 1:15. 1 empty seat out of 15 seats.
What is a ratio? What are the different ways of expressing the relationship of two amounts? What information does a ratio provide?
4. Most of you did not have enough time to complete the redistillations of Fraction 1 and Fraction 3, but you are still equipped to anticipate the results.
When the denominator is the same he is able to partition and see what fraction is needed to make the whole. When comparing fraction pairs, Adam is using gap thinking of the fractions 5/6 and 7/8 “both need 1 of their fraction to make a whole” understanding that each numerator needs one more part to make it a whole. In saying that, when comparing ¾ to 7/9 that have more than 1 to the whole, Adam said ¾ is larger, “1 more ¼ to make 1. 2 more 9ths to make a whole” He tried to apply gap thinking, incorrectly not understanding the unit of fractions. Adam has limitations surrounding improper fractions, not recognizing that 4/2 is larger than 1 whole and is equal to 2. He has misconceptions when comparing fractions with proportional reasoning is limited. When asked to draw a fraction he automatically swaps the numerator and denominator (6/3 to 3/6) when the numerator is larger than the denominator, when considering improper fractions, rather than converting to a mixed number fraction or whole number.. This displays Adams misconceptions of the understanding of the
The majority of share divisions are mostly two for one split. This implies the stockholders get two stocks and shares for the price of one share. In case the share cost $10, the stockholder will get 2 $5 shares instead.
Think of this in general as X/Y. So, the money market formula is, in general,
Ratios are highly important profit tools in financial analysis that help financial analysts implement plans that improve profitability, liquidity, financial structure, reordering, leverage, and interest coverage. Although ratios report mostly on past performances, they can be predictive too, and provide lead indications of potential problem areas. Financial ratios are important because they help investors make decisions to buy hold or sell securities.
Chapter 3.1: History of Probability . Roulette Roulette is a game where a person plays not against another person but against a wheel. Roulette has thirty-eight compartments where 1-36 are numbered and are colored either black or red. The remaining two are numbered 0 and 00 and are colored green.
The second ratio represents the fraction of EBIT (i.e., operating profit) that the firm keeps after financing
To do this, you need to divide the top and the bottom number by the same number to get a smaller whole number on both parts of the fraction.
Webster’s dictionary also defines ration as “the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.” For example, the ratio of sugar to corn syrup is 1.5 times cups to 1 cup in one marshmallow recipe.
Teaching students effectively in areas of multiplicative thinking, fractions and decimals requires teachers to have a true understanding of the concepts and best ways to develop students understanding. It is also vital that teachers understand the importance of conceptual understanding and the success this often provides for many students opposed to just being taught the procedures (Reys et al., ch. 12.1). It will be further looked at the important factors to remember when developing a solid conceptual understanding and connection to multiplicative thinking, fractions and decimals.
The calculation of ratios is the calculation technique for analyzing a company’s financial performance that divides or standardize one accounting measure by another economically relevant measure. Financial ratios can be used as a tool to demonstrate financial statement users for making valid comparisons of firm operating performance, over time for the same firm and between comparable companies. External investors are mostly interested in gaining insights about a firm’s profitability, asset management, liquidity, and solvency.
Firms and Companies include ‘Ratios’ in their external report to which it can be referred as ‘highlights’. Only with the help of ratios the financial statements are meaningful. It is therefore, not surprising that ratio analysis feature are prominently in the literature on financial management. According to Mcleary (1992) ratio means “an expression of a relationship between any two figures or groups of figures in the financial statements of an undertaking”.