How can I add subtract a Rational NumberSolution .pdfamitseesldh
How can I add/ subtract a Rational Number?
Solution
Simplify all problems by turning fractions into decimals and minimizing operation
symbols where possible. Then you\'re just lining everything up with the decimals and doing
simple adding or subtracting. Remember the fraction is a portion of a whole number 1. Just to
clarify, Dividing the denominator (lower part) into the numerator (top part) will give you the
fraction in decimal form. In Mixed numbers, where you have a whole number and a fraction (i.e.
1 3/4) the whole number should remain unaffected in your conversion unless the numerator is
greater than the denominator (i.e. 1 5/2) thus the fraction results in a whole number to add to the
whole for your final decimal conversion. (i.e. 1 5/2 = 1+2.5 = 3.5 Here 5 divided by 2 = 2
remainder 1 which in fraction form would be 2 1/2 and 1/2 is commonly known to be .5 so 5/2 =
2.5 to add to the 1). just sharing for future help :) 1. 24.65 2. 0.875 - 1.375 = -0.5 (If you cant
use a calculator to convert this one, 7/8 - 3/8 = 4/8 which simplifys into 1/2 and then 1/2 - 1 = -
1/2. When subtracting mixed numbers, i deal with the fraction part first, the whole numbers
second, and then i combine both. In this equation the number we were subtracting was bigger
than the one we are subtracting from and there was nothing to subtract the 1 from so there was a
-1 which i subtracted from our positive 1/2) 3. -1.5 + 1.5 = 0 (changed to \"+\" because 2
negatives = a positive) 4. -0.2 5. -0.5 - 0.75 = -1.25 (little trick here, when adding 2 negatives,
ignore the negatives, add them like they are positives, and then just put a negative sign in front of
your final answer) You should be able to convert this one into a decimal without a calculator
since these are common fractions, but in case you want to do it with them still in fraction form,
still apply my trick by temporarily ignoring the negatives and play with multiples in the
denominator so that you can convert one, or both fractions if necessary, to have the same
denominator, in this case the denominator 2 is a multiple of 4 and goes into it twice, so multiply
the top and bottom of the fraction 1/2, so 2/4+3/4 = 5/4 this can still be simplified since the
numerator is greater than the denominator, so 5/4 = 1 1/4 because 4 goes into 5 one whole time
with a remainder of 1, and then throw in the negative that we had been ignoring all along, -1 1/4.
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2. Reviewing place value
__.__ __ __ __
Three and four tenths
Five and twenty five hundredths
Two and five tenths
3. Now use that information to
convert to a fraction.
When you are converting from decimal to a fraction…..
The whole number stays the whole number
3.4 3
The number to the right of the decimal is your numerator
3.4 3 4/
The denominator will depend on the place value of the
decimal. The four is in the tenths place…..so your
denominator is 10
3.4 3 4/10
Once you have completed this process make sure your
fraction is in lowest terms / simplest form
3 2/5
5.75 =
5.25 =
2.5 =
4. You try! You have 3 minutes
GO!
45.65
58.02
5.1
3.6
789.45
12.5
5. Now lets go from fractions to
Whole # Decimal
decimals 2 3/10
You need to keep in mind your place value.
2 3/10 = this fraction is read as two and three
tenths.
The whole number goes in front of the decimal 2
3/10 = 2.
Make sure the denominator is in tenths,
hundredths, thousandths….. 3/10
The numerator will end in the place value
position of the denominator, for 3/10 the 3 is in
the tenths .3
Then you put your number together. 2.3
3 42/100=
5 5/1000=
6. What if the denominator does not end
in tenths, hundredths, or
thousandths?
¼=
3/5=
24/30=
7. You try! You have 3 minutes
GO!
13/100=
72/100=
¾=
5 75/100=
3/1000=
17/20=
42 19/25=
8. What to do when that doesn’t
work……Go bottoms up and divide
Remember that a fraction is a division
problem. Here are the steps…
You will set up your fraction (5/8) as a
division problem.
The numerator in the dividend 5
The denominator is the divisor 8
Put in zeros as place holders 8 5.000
Make sure to pull your decimal up into
the quotient.
Then do the division. 8 5.000
