A common denominator. The best way is to find the LCM (Lowest Common Multiple) of all the denominators - the smallest number into which all the denominators will divide. (The easiest way to do this is to multiply all the different denominators together. Once this common denominator has been found, convert all the fractions into equivalent fractions with this new denominator.
There is a game specifically designed for understanding how to divide and multiply fractions. It can be found at ellerbruch.nmu.edu.
BODMAS = Brackets, Of, Divide, Multiply, [Add and Subtract]BODMAS = Brackets, Order, Divide, Multiply, [Add and Subtract]BODMAS = Brackets, Other, Divide, Multiply, [Add and Subtract]BIDMAS = Brackets, Index, Divide, Multiply, [Add and Subtract]I have bracketed Add and Subtract as when they are found together, they are done in the order they are found: from left to right.eg 1 + 2 - 3 is (1 + 2) - 3 and NOT 1 + (2 - 3) as the mnemonic would suggest.With Divide and Multiply, they can be done either left to right, or by doing the divide first, and the correct answer will be found, eg:2 x 6 ÷ 3 = (2 x 6) ÷ 3 = 2 x (6 ÷ 3)Note:6 ÷ 3 x 2 = (6 ÷ 3) x 2 ≠ 6 ÷ (3 x 2)But the last possibility would not be attempted as 'left to right' and 'divide first' are the same calculation (doing the division); showing that following strict 'DM' of BODMAS always works.My own creation: to get the sum correct, you will be under the watchful eye of the Bod Tsar:BODTSAR = Brackets, Of/Order/Other, Divide, Times, Subtract, Add (in order to get the) Result.Which fixes the slight imperfection that the B*DMAS don't show that the pairs of operations Divide & Multiply, and Subtract & Add have the same priority and are done in left to right order. However, if you always Divide before Multiplying (Timesing) and Subtract before Adding in those pairs, you will get the correct result, hence my mnemonic
The Z3 was a computer from the 40s, not the bmw like the person before this answered. I have found that it was a simple calculator so I would believe that it could add, subtract, multiply, and divide.
In order to add or subtract fractions, the denominator (bottom number) has to be the same. In order to make it the same, you find the LCM and multiply the fraction by whatever is necessary to make the denominator the LCM. FOR EXAMPLE: 1/3 + 2/5 The LCM of 3 and 5 is 15. To make the 3 in 1/3 15, you multiply the whole fraction by 5 over 5 (it simplifies to 1 so you aren't really changing the fraction by multiplying it by 1). 1/3 * 5/5 is 5/15 You multiply 2/5 times 3 over 3 using the same principle 2/5 * 3/3 is 6/15 NOW you can add 5/15 and 6/15 to get 11/15.
To convert a fraction into a decimal, just divide the numerator by the denominator. For example, in the fraction 2/3, if you divide 2 by 3 you get 0.66666... To convert to a percentage, multiply this last result by 100; in the above example, you get 66.666666...
Remember that to divide fractions you FLIP and MULTIPLY. So we FLIP the second number 6/5 becomes 5/6 and then MULTIPLY the two fractions. 8/7 x 5/6 = (8x5)/(7x6) = 40/42 = 20/21 (reduced) Further instruction for dividing fractions can be found at the website listed in Related Links, below. Also if you want to know why we're allowed to flip and multiply look up the Chinese Method for Dividing Fractions.
To add or subtract fractions the denominators must be the same - then the numerators are added or subtracted with the denominator being kept the same.When adding or subtracting fractions with different denominators, the fractions must first be converted into equivalent fractions with the same denominator and then the (new) numerators can be added or subtracted as required.For the denominator for these equivalent fractions, the original denominators can all be multiplied together, but this can lead to having to work with very large numbers; a better choice for the denominator is the smallest number that all the denominators divide into, their Least Common Multiple (LCM) - this is is then used as the denominator for the equivalent fractions and is called the Least Common Denominator (LCD) of the fractions.First you find the LCD okay??? Then you have to add or subtract. What they mean by that is that once you've found your lcd add or subtract..xx hope i helped :)
you do that if you need to divide fractions, its called using the recipical.
Common denominator
In order to subtract or add fractions the denominators must be the same and that's why the LCD must be found.
No because in order to subtract or add fractions the denominator of the fractions must be the same and if they are not then the lowest common denominator of the fractions must be found. Having subtracted or added the fractions then it may be possible to simplify the result.