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Q: When two fractions refer to the same whole and have the same denominators explain why you can compare only the numerators?

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you can't add a pear to apples to see how many apples you have

1/4 + 1/4 = 2/4. If the denominators are equal, you simply add the numerators. 2/4 = 1/2. To simplify a fraction, you can divide numerator and denominator (top and bottom part) by the same number, in this case, 2.

Decimals and percentages are easier to compare than fractions - particularly if they are unlike fractions. That does not explain why percentages are required when we have decimal number and there is no good answer to that!

LCD, in arithmetic, is the lowest common denominator. Given a set of rational fractions, it is the smallest integer which each of the denominators will go into evenly.

Before adding or subtracting two fractions they are converted into like fractions. Explain with examples why this is necessary.

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Because when you compare fractions with the same denominators, you do not have to find the least common denominator (LCM or LCD).

When you add or subtract fractions with like denominators, you just add or subtract the numerators and put them over the same denominator. For example, 3/5 - 2/5 = (3 - 2)/5 = 1/5

you can't add a pear to apples to see how many apples you have

1/4 + 1/4 = 2/4. If the denominators are equal, you simply add the numerators. 2/4 = 1/2. To simplify a fraction, you can divide numerator and denominator (top and bottom part) by the same number, in this case, 2.

Convert them to decimals and order them least to greatest.

Yes

You need to answer this question because your teacher is looking for your critical thinking skills and how well you understood the lesson.

Find the lowest common denominator. Once their denominators are the same, the one with the larger numerator is the largest.

You can totally add fractions with unlike denominators. You have to first find the LCD (least common denominator) to make them the same denomintars. And then you can just simply add them. What you cannot do is add fractions with unlike denominators without changing them to fractions with like denominators. The reason being that you would be attempting to add fractions that are different sizes. 1/2 is not the same size as 1/3, so it would be like trying to add apples and oranges. You have to change them to a common size and that is the reason you have to find the least common denominator first. While you cannot add 1/2 and 1/3, you can add 3/6 and 2/6.

Decimals and percentages are easier to compare than fractions - particularly if they are unlike fractions. That does not explain why percentages are required when we have decimal number and there is no good answer to that!

LCD, in arithmetic, is the lowest common denominator. Given a set of rational fractions, it is the smallest integer which each of the denominators will go into evenly.

Before adding or subtracting two fractions they are converted into like fractions. Explain with examples why this is necessary.