Week 4-5 - Fundamental Operations on Fractions, Decimals and Percentage Flashcards
Adding Fractions with the Same Denominators
In adding fractions with the same denominator, simply copy the
denominator and add the numerators. You may simplify if needed.
Adding Fractions with Different Denominators
In adding fractions which do not have the same denominator, the
fractions need to be expressed with a common denominator then you
may simply add the numerator and copy the common denominator.
You may simplify if needed.
Another technique is by multiplying the denominators; the product
would then be divided by the original denominator of the fraction.
The resulting quotient will be multiplied to the numerator. Then add
the numerator and copy the common denominator. You may simplify
if possible.
Adding Mixed Fractions
In adding mixed fractions, you may first convert the mixed fraction to
its improper form before proceeding to the operation. You may
simplify if needed.
If you want you may also, separate the whole number first and proceed
to operating the remaining fractions before proceeding to the
operation. You may simplify if needed.
Subtracting Fractions with the Same Denominators
In subtracting fractions which do not have the same denominator, the
fractions need to be expressed with a common denominator then you
may simply subtract the numerator and copy the common
denominator. You may simplify if needed.
Another technique is by multiplying the denominators; the product
would then be divided by the original denominator of the fraction.
The resulting quotient will be multiplied to the numerator. Then
subtract the numerator and copy the common denominator. You may
simplify if needed.
Subtracting Mixed Fractions
In adding mixed fractions, you may first convert the mixed fraction to
its improper form before proceeding to the operation. You may
simplify if needed.
If you want you may also, separate the whole number first and proceed
to operating the remaining fractions before proceeding to the
operation. However, there is a possibility that you may still convert
the whole number into an improper fraction in order to perform the
operation. That’s quite a nuisance to the operation. You may
simplify if needed.
Multiplying Proper and Improper Fractions
The rule is simple. Just multiply the all numerators as well as the
denominators. You may simplify if needed.
Multiplying Mixed Fractions
In multiplying mixed fractions, you must first convert it to its improper
form before proceeding to the operation.
Dividing Proper and Improper Fractions
In diving fractions, you may simply interchange the numerator and the
denominator of the dividend fraction then proceed to multiplication
Dividing Mixed Fractions
In dividing mixed fractions, you must first convert it to its improper
form before proceeding to the operation
Adding decimals
Simply write down the numbers, one under the other, wherein
the decimal points are lined up. Put in zeros so the numbers have the
same length. Then add the digits in each column.
Subtracting decimals
Similar to addition, simply write down the numbers, one under the
other, wherein the decimal points are lined up. Put in zeros so the
numbers have the same length. Then subtract the digits in each
column.
Multiplying decimals
In multiplying decimals, simply multiply as if the decimal point
doesn’t exist. Add the total number of decimals that you have in the
multiplicand and the multiplier. This will be the basis on how to place
decimal point on the quotient.
Dividing decimals
In dividing decimals you can use division method in your basic
mathematics. You may ignore the decimal point while performing the
operation. Then you can put the decimal point in the same spot as the
dividend.
Note: If the divisor does not have a whole number, move decimal
point to right to make it a whole number and move decimal point in
dividend the same number of places
Perform
Adding percentage
In adding percentages simply use the basic addition rules and copy the
percentage sign
Subtracting percentage
In subtracting percentages simply use the basic subtraction rules and
copy the percentage sign.
