help! devide or what ever by the recipical? its an easy question for smart people?

Question

well michale jackso(mick) asked a question whats 160devide by 3/5 and everyone did like this recipical thing. and i dont get what there doing so can someone tell me STEP BY STEP in WORDS not terms, how you do 160devided by 3/5. remeber show the equation and tell me in words please : ) thyank you smart people

Answer 1

If you have a number a/b then it's reciprocal is b/a. In our case a=3 and b=5. So the reciprocal of 3/5 is 5/3.
Dividing with a rational number is the same thing as multiplying with its reciprocal. So if you would like to divide 160 by 3/5 it is exactly the same as if you multiplied 160 with 5/3.

Answer 2

Iiiigh, this is the stuff we like to gloss over at the beginning of an algebra course, but in books dealing with number theory, the discussion borders on anal. However, the anal mathematicians are correct, you have to understand what we mean by division.

If you have a number X which can be written as a product of two numbers P and Q, namely:

X = P*Q

then dividing X by P gives and answer Q, namely

X/P = Q.

This is simply the definition of division. It is the answer (Q), which can be multiplied by the dividing number (P) to give back the original number (X).

Now supposing X is 1. What is the answer when you divide 1 by a number (P)?

1/P = R

This R is given a special name; it's the reciprocal of P. This means that multiplying this division-answer (R) by the dividing number (P) will give you 1.

Now watch what happens when something is multiplied by a reciprocal of a number, then multiplied again by the number:

[X*(1/P)]*P = X* [(1/P)*P]

(this is true because multiplication is associative, meaning the grouping of the numbers you multiply can be changed without affecting the answer). Since (1/P)*P =1, the right side of the equation can be replaced:

[X*(1/P)]*P = X*[1] , or simply

[X*(1/P)]*P = X

Let's "flip" the equation, to see it more clearly:

X = [X*(1/P)]*P

You can see that X is clearly a product of two numbers: "X*(1/P)" and "P". Now remember the definition of division? "X/P is the number that when multiplied by P, gives X". The equation above shows a number [X*(1/P)] that when multiplied by P gives X, or (with square brackets removed):

X/P = X*(1/P)

and that is why the rule, "To divide a number X by P, just multiply X by the reciprocal of P".

In M.J.' s problem, you want to divide 160 by 3/5. The answer is the same as multiplying 160 by the reciprocal of 3/5. This reciprocal is 5/3. So 160 * (5/3) = 800/3. Confirm this is correct by multiplying the answer by the dividing number: (800/3)* (3/5) = <> 800/5 = 160.

Answer 3

In mathematics.multiplication is treated as the opposite process of division and hence ,what we do in the division of fractions,multiply the fractions after flipping them
Hence 3/4 divided by 1/4
=3/4X4/1=12
10 divided by 2/5
=10/1 X5/2=10*5/1*2=25
160 divided by 3/5
=160 multiplied by 5/3 [fraction 3/5 is flipped]
=160*5/3
=800/3
=266 2/3 [converted to mixed fraction]

Answer 4

160 divided by 3/5 is the same as

160 multipled by 5/3....
There is a rule in dividing fractions. It states that in dividing fractions, MULTIPLY the first term by the RECIPROCAL of the second term.

Example:
1/2 divided by 3/2 becomes
1/2 multiplied by 2/3 .....
The RECIPROCAL of
3/2 is 2/3,
1/3 is 3
4/5 is 5/4
meaning the numerator becomes the denominator, and the denominator becomes the numerator.
In 3/4 ... 3 is the numerator, 4 is the denominator.
The RECIPROCAL of 3/4 is 4/3.
Going back to your question.
160 divided by 3/5 =
160 multiplied by 5/3 =
800/3 = 266 2/3 or 266.6667 (it's a repeating decimal)
________________
Good luck!!

Answer 5

The reciprocal of a number is simply 1 divided by that number. For example, the reciprocal of 3 is 1/3. You can think 3 as 3/1, and you simply invert it to take the reciprocal, giving you 1/3.

Now, a fraction has two parts; a numerator on the top, and a denominator on the bottom. Multiplying a fraction simply means "multiply by the top, then divide by the bottom". For example, to multiply by 2/3, we multiply by 2, then divide by 3.

Division is the reciprocal operation of multiplication, so dividing by a fraction is the same thing as multiplying by the reciprocal of the fraction. If we were multiplying by 2/3, it means we're multiplying by 2, then dividing by 3. But now if we instead want to divide by 2/3, we can take the reciprocal of the fraction, getting 3/2, and multiply.

160 divided by 3/5
is the same thing as saying
160 multiplied by 5/3

Answer 6

in maths multiplication is opposite of division and if the number is a/b then it would be b/a

in ur question 160 divided by 3/5 means
160 multiplied by 5/3
kkk

as this is a rule in maths.