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How to change dissimilar fractions to similar fractions?
Note: numerator is the top part of the fraction, denominator is the bottom part. 1) Find a common denominator. It may be the least common denominator, but it need not be; just multiplying the denominators also gives you a common denominator, not necessarily the smallest one. 2) Convert each fraction so that it has this common denominator. This means multiplying numerator and denominator by the same number.
How do you make the denominator the same?
To make the denominator of two fractions the same, you multiply numerator and denominator of one fraction of the fractions by the same number. You may also have to multiply numerator of the other fraction by a different number.For example, to add 1/8 + 1/10, you have to convert to a common denominator; the lowest common denominator is 40, but any common denominator will work (for example, 80 which is simply the product of the two).To convert 1/8 to a fraction with a denominator of 40, multiply numerator and denominator by 5. To convert 1/10, multiply numerator and denominator by 4. The result is:5/40 + 4/40To make the denominator of two fractions the same, you multiply numerator and denominator of one fraction of the fractions by the same number. You may also have to multiply numerator of the other fraction by a different number.For example, to add 1/8 + 1/10, you have to convert to a common denominator; the lowest common denominator is 40, but any common denominator will work (for example, 80 which is simply the product of the two).To convert 1/8 to a fraction with a denominator of 40, multiply numerator and denominator by 5. To convert 1/10, multiply numerator and denominator by 4. The result is:5/40 + 4/40To make the denominator of two fractions the same, you multiply numerator and denominator of one fraction of the fractions by the same number. You may also have to multiply numerator of the other fraction by a different number.For example, to add 1/8 + 1/10, you have to convert to a common denominator; the lowest common denominator is 40, but any common denominator will work (for example, 80 which is simply the product of the two).To convert 1/8 to a fraction with a denominator of 40, multiply numerator and denominator by 5. To convert 1/10, multiply numerator and denominator by 4. The result is:5/40 + 4/40To make the denominator of two fractions the same, you multiply numerator and denominator of one fraction of the fractions by the same number. You may also have to multiply numerator of the other fraction by a different number.For example, to add 1/8 + 1/10, you have to convert to a common denominator; the lowest common denominator is 40, but any common denominator will work (for example, 80 which is simply the product of the two).To convert 1/8 to a fraction with a denominator of 40, multiply numerator and denominator by 5. To convert 1/10, multiply numerator and denominator by 4. The result is:5/40 + 4/40
When you multiply fractions by fractions what do you do to the numerators?
they are also multiplied. When multiplying fractions: (N1/D1) x (N2/D2). The new product is (N1 x N2) / (D1 x D2).
Two fractions have a common denominator of 8 what could the fractions be?
Any fractions with a denominator of 8. Also, the denominator of one of the fractions might be any factor of 8.
How is multiplying rational numbers like multiplying fractions and multiplying decimals?
Fractions and decimals are usually rational numbers. Besides, multiplying rational and irrational numbers is also similar.
Why do you need the lowest common denominator for adding but not multiplying fractions?
This follows from the way in which addition and multiplication are defined. Addition requires like terms, multiplication does not. Incidentally, "like terms" are also required for adding algebraic terms but not for multiplying.
Can you call 2 equivalent fraction like fractions?
No. Like fractions have the same denominator.
How do you order fractions with unlike denominators?
You can convert them to equivalent fractions with like denominators, then simply compare the numerators.You might also convert each fraction to a decimal (divide the numerator by the denominator); then you can also compare them.
Why isn't a common denominator needed when multiplying or dividing fractions?
All you need to do to multiply two fractions is multiply the numerators, and multiply the denominators. First converting to a common denominator is possible, and it will indeed give you a correct answer, but it's an unnecessary complication. Not only must you find this common denominator, but it would also cost you additional work to simplify the result.
How do you put fractions in smallest to largest?
This is kind of difficult to explain in one post, but I'll give it a shot. Pretend you have a group of fractions: 1/4, 2/8, 1/2 To organize the fractions from smallest to greatest, you first have to make them all the same denominator. The denominator is the number at the bottom of a fraction. You can make all the fractions have the same denominator by multiplying the top, by the same amount you multiply the denominator (multiply the denominator into the smallest number that can be divided into every fraction's denominator) Like this. 1/4, 3/8, and 1/2.. The number that all the denominators can divide into is 8. So, to make the fractions have the denominator of 8, you have to multiply the denominator with a number that will make it 8. However, when you multiply the bottom, you must also do it to the top. It looks like this: 1x2/4x2, 3x1/8x1, 1x4/2x4 After you calculate that, it will look like this: 2/8, 3/8, 4/8. After they are all the same denominator, just order them from lowest to greatest by how big the top number is. That will look like: 2/8, 3/8, 4/8. This is because 2 is the smallest, then it's 3, then its 4. I hope that helped you understand. Another method (easier) Convert the fractions into decimals. You can use a calculator. This will allow you to sort them from smallest to largest just by comparing their decimal conversions or approximations.Example: 1/4 = .250, 3/8 = .375, 1/2 = .500. This lets you compare the fractions by comparing their relative amounts. Comparing fractions with different denominators is like comparing apples and grapes.
How do you add fractions with diffrent denominators?
To add fraction with different denominators, you want to move both fractions to a common denominator. You can do this by multiplying each fraction by the a fraction whose numerator and denominator is the same as the opposing fractions denominator. Example: 7 / 8 + 1 / 2 Multiply each fraction by the other fractions denominator over itself. This will work without changing the value because x / x = 1. (7 / 8 ) * ( 2 / 2 ) + ( 1 / 2 ) * ( 8 / 8) Simplify. 14 /16 + 8 / 16 Now just add the numerators together. 24 / 16 Simplify 3 / 2 or 1 1/2 You can also use any other numbers that will get your denominators to the same place. Remember, x / x = 1. And multiplying by 1 doesn't effect the value of the fraction.
How to compare fractions?
The usual method is to convert the fractions to equivalent fractions with a common denominator. Then you can simply compare the numerators. You can also convert each of the fractions to a decimal - this can easily be done with a calculator, simply divide the numerator by the denominator.
