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What happens if you have a mixed number how do you make it a reciprocal?
A mixed number is simply a whole number and a fraction. The value of a mixed number would be the whole number added to the fraction. To find its reciprocal: _______________________________________________________________ 1. You need to make the mixed number into a improper fraction. To do this, take the denominator times the number in front. Then add the result to the numerator. Then the improper fraction is that result over the denominator. A mixed number is formatted as a leading number and a fraction. If X is the leading number, D is the denominator, N is the numerator: X and N/D=(X*D+N)/D _______________________________________________________________ 2. Then take this new fraction and flip the numerator and the denominator: D/(X*D+N) _______________________________________________________________ So to get the reciprocal of a mixed number in one step, the reciprocal's: numerator is equal to the denominator of the mixed number; denominator is equal to the leading number multiplied by the denominator added to the numerator: D/(X*D+N)
How can you make a reciprocal out of a mixed number?
First you need to make the mixed number into a improper fraction. To do this, take the denominator times the number in front. Then add the result to the numerator. Then the improper fraction is that result over the denominator. _______________________________________________________________ If X is the leading number, D is the denominator, N is the numerator: X and N/D=(X*D+N)/D _______________________________________________________________ Then take this new fraction and flip the numerator and the denominator: D/(X*D+N) _______________________________________________________________ So to get the reciprocal of a mixed number in one step, the reciprocal's: numerator is equal to the denominator of the mixed number; denominator is equal to the leading number multiplied by the denominator added to the numerator.
How do you use rectangular models for multiplying fractions?
Draw as many rectangles as the whole number you are multiplying by. Then, draw the fraction you are multiplying by in all of the rectangles. Shade in the top number in the fraction [numerator] in your rectangles. Count all the shaded in parts of all your rectangles. Leave the bottom number of your fraction [denominator] the same and put the number you got when you added the shaded parts of the rectangles on top as your denominator of the fraction. That is your answer!
How do you change improper fractions into a mixed fraction?
1. See how many times the denominator or numerator goes into the numerator or denominator.2. Write the answer as a whole number.3. Draw a fraction bar next to it and write the original denominator.4. On top, write the number of how much is left.5. There is your answer!Example: 8/3 How much times does the denominator go into the numerator? 2 times. So, 2 is the whole number.The original denominator given is 3, so you put it in like this: 2 /3 (2 is there because it is the whole number, and you must keep it next to it.)After, see how much is left. If you add 2 to the denominator, you will get the numerator's number. Put the added number as the numerator So, the answer will be: 2 and 2/3.
The numerator of a fraction is 4 less than its denominator If 3 added to both the numerator and the denominator the resulting number is ¾ What is the original fraction?
d = n + 4; (n + 3)/(n + 7) = 3/4 Cross multiply: 4n + 12 = 3n + 21 n = 9, making d = 13, ie original fraction was 9/13 12/16 = 3/4. Job done
