Q: Does The property of radicals for quotients states that the square root of a fraction is the square root of the denominator over the square root of the numerator?

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The distributive property is not related to finding equivalent fractions. The distributive property is a rule that states a(b + c) is equal to ab + ac. It is used to simplify expressions and perform operations like multiplication or addition. To find an equivalent fraction, you would need to multiply or divide the numerator and denominator by the same nonzero number.

1/4 and 4/16. You can multiply (or divided) the numerator and denominator both by any number (except zero), and you will have a new fraction, which has equal value to the original (equivalent fraction). Think of it as just multiplying by 1, which is the Identity Property of multiplication. (x/x = 1 for all x, x not equal 0).

Division is distributive over addition only in terms of addition with the numerator, but not the denominator. That is, (a + b)/x = a/x + b/x but y/(c + d) â‰ y/c + y/d

If the numerator and denominator are the same then the fraction is 1. If not, it is not. This follows from the property of 1, the multiplicative identity. For all real (or complex) numbers, x, other than 0, there is a unique number, usually denoted by x-1 or 1/x such that x*x-1 or x*1/x = 1. The consequence is that any number divided by itself is 1. Not only that, but if it is divided by any other number, the uniqueness of the inverse implies that the answer cannot be 1.

when you multiply -1 to a fraction it makes the fraction negative 7 -7 -- x -1= --- 8 8

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If the fraction is already improper, then all that is needed is to make the numerator the denominator and make the denominator the numerator. Using the property of multiplicative reciprocals, any number times its reciprocal must equal 1. With fractions, in multiplication the numerator and denominator between the reciprocals any which way (den. of 1st and num. of 2nd, or den. of 2nd and num. of 1st) can cancel out. 7/16-->16/7 65/8-->8/65

Answer: 129,166,667/100,000,000 or 1 29,166,667/100,000,000 Solution Method: - Separate the # into the whole # & decimal # parts: 1.29166667 = 1 + .29166667 - Change the decimal # into a proper fraction using the multiplicative property of 1: .29166667 * 100,000,000/100,000,000 = 29,166,667/100,000,000 - Add the original whole # to the fraction to make a mixed fraction: 1 + 29,166,667/100,000,000 = 1 29,166,667/100,000,000 - Convert the mixed fraction to a proper fraction (i.e. (whole # * denominator + numerator) / denominator) (1 * 100,000,000 + 29, 166,667) / 100,000,000 = 129,166,667/100,000,000

The distributive property is not related to finding equivalent fractions. The distributive property is a rule that states a(b + c) is equal to ab + ac. It is used to simplify expressions and perform operations like multiplication or addition. To find an equivalent fraction, you would need to multiply or divide the numerator and denominator by the same nonzero number.

1/4 and 4/16. You can multiply (or divided) the numerator and denominator both by any number (except zero), and you will have a new fraction, which has equal value to the original (equivalent fraction). Think of it as just multiplying by 1, which is the Identity Property of multiplication. (x/x = 1 for all x, x not equal 0).

Division is distributive over addition only in terms of addition with the numerator, but not the denominator. That is, (a + b)/x = a/x + b/x but y/(c + d) â‰ y/c + y/d

to divide u can use long division, partial quotients, repeated subtraction or distributive property

If the numerator and denominator are the same then the fraction is 1. If not, it is not. This follows from the property of 1, the multiplicative identity. For all real (or complex) numbers, x, other than 0, there is a unique number, usually denoted by x-1 or 1/x such that x*x-1 or x*1/x = 1. The consequence is that any number divided by itself is 1. Not only that, but if it is divided by any other number, the uniqueness of the inverse implies that the answer cannot be 1.

The lowest common denominator is simply the lowest real number that two separate denominators can be converted to. Fractions are easier to add, subtract, and compare when they are in terms of the same denominator.For example, we will use the numbers 1/3 and 1/4. First find the lowest common multiples (LCM).3:3,6,9,124:4,8,12Now that you have found the lowest common multiple, you find an equivalent fraction that has the same value.1/3 * 4/4 = 4/121/4 * 3/3 = 3/12When you multiply the denominator by a number, you have to do the same for the numerator. This is called the Property of One. Now you add the two fractions together.4/12 + 3/12 = 7/12

when you multiply -1 to a fraction it makes the fraction negative 7 -7 -- x -1= --- 8 8

For example, (10 + 2) / 2 = (10 / 2) + (2 / 2). This works if the added terms are on the left side of the division side (or the numerator of a fraction). Consider the distribution of multiplication over addition to be the fundamental rule; if you convert the division above to a multiplication, and later you convert the multiplication back to a division, it should be clear why the distributive property works in this case: (10 + 2) / 2 = (10 + 2) x (1/2) = (10 x 1/2) + (2 x 1/2) = (10 / 2) + (2 / 2) Please note that it does NOT work the other way round, that is, if the added terms are on the right of the division sign (denominator of a fraction).

Answer: 9/20 Solution Methodology: Question Clarification: What is 45p as a fraction? = What is 45 [percent] as a fraction? Solution: 45% = ? fraction (i.e. #/#`) (to get the % of a number just divided the # by 100) 45/100 = the fraction (to simplify the fraction, used the multiplicative property of 1 as shown in the next step) 45/100 * 5/5 = 9/20

Yes it does. Don't do it!!! You can see a fraction as an instruction: "Divide the top by what is on the bottom." If you divide it by 2, you double the bottom. If you multiply by 2 you double the top. So doubling the top and bottom is the same as multiplying by 2 then dividing by 2, which is the same as multiplying by 1, which is the multiplicative identity, so its the same as doing nothing. This effect is called Associativity: Multiplying one part by 2 then dividing another part by 2 when they are both going to be multiplied or divided is the same as multiplying by 1. However, this only works as division is a special case of multiplication: The multiplication by 1/something . Addition is NOT associative. This property only works with multiplication. Adding something to top and bottom changes the value. (It doesn't add the value you added to the total of the fraction either; to do that you need to do fraction addition with the added fraction being the (addend*LCM)/(LCM) + ((original numerator * LCM)/original denominator)/(LCM) after finding the LCM - least common multiple) A simple example of the fact it changes the value is the equation x/y=1: if you claim (x+1)/(y+1)=1, multiply both sides by y+1 to get x+1=y+1. Now subtract y from both sides to get x-y+1=1. According to this x-y+1=x/y (i.e. in all cases and values of x and y). This is clearly untrue, so the point has been made. (For any people who are into such things, I apologize for that truly horribly lax proof I just did.)