It is the binary operation of multiplication which has two inputs, at least one of which comprises a mixed fraction: that is, a fraction which consists of an integer part and a part which is a proper fraction.
To find 87.5% of a fraction or mixed number, you first convert the fraction or mixed number into a whole number with or without a decimal (ex. 3/4=.75; 1 3/8=1.375). Next, you take 87.5% and convert it into a decimal (for multiplication. To do this, you simply move the decimal point (.) two paces to the left (87.5=.875) and the opposite when converting a decimal to a percent. Next, you multiply .875 by whatever the converted fraction or mixed number came out as. Now you have your answer. Hope this helps.
98 is an integer and there is no sensible way of representing it as a mixed fraction.
A mixed number
0.714285 does not convert to a mixed fraction, just a fraction. It is: 142857/200000
It is a fraction - which may be mixed or proper.
The simplest way is to rewrite the mixed number as an improper (top-heavy) fraction and then multiply the two fractions together as normal.For example, 2/7 * 1 1/4 = 2/7*5/4 = 10/28 = 5/14
No you do not HAVE TO. But you are well advised to do so. You are far more likely to run into problems or make mistakes if you try to go through the multiplication process using mixed fractions.
175: as a decimal = 175.0 as a mixed fraction = Ideally, it can't be converted into a mixed fraction.
For addition and subtraction, nothing. For multiplication, nothing provided you are able to use the distributive property efficiently. For division the mixed fraction should be converted to a top-heavy fraction. Although this can help with the other operations, it is not a "must".
proper fraction
To find 87.5% of a fraction or mixed number, you first convert the fraction or mixed number into a whole number with or without a decimal (ex. 3/4=.75; 1 3/8=1.375). Next, you take 87.5% and convert it into a decimal (for multiplication. To do this, you simply move the decimal point (.) two paces to the left (87.5=.875) and the opposite when converting a decimal to a percent. Next, you multiply .875 by whatever the converted fraction or mixed number came out as. Now you have your answer. Hope this helps.
As an example 2 3/5 X 7 First convert the mixed number to an improper fraqction Hence 2 3/5 = 13/5 Next we convert the '7' to an improper fraction by placing it over a trivial '1'. Hence '7' = '7/1'. Re-writing 13/5 x 7/1 We separate;y multiply the numerators together, and the denominators together. Hence 13/5 X 7/1 = 91/5 Finally we convert the improper fraction back to a mixed fraction by dividing by '5' , which will give an answer of '18' and a remainder of '1' Hence it is re-written as ' 18 1/5 '. The answer. NB Whenthe numbers become large , look to see if you can cancel down /reduce. So amending the above numbers slightly. 2 3/5 X 5 = > 13/5 X 5/1 In this case '5' is a common factor ; top & bottom'. so we cancel down by '5' Hence 13/1 X 1/1 proceeding as before. 13 / 1 = 13 The answer!!!!! These methods are good for any set of frqactional numbers.
A mixed numberThis is called a mixed number or mixed fraction.
98 is an integer and there is no sensible way of representing it as a mixed fraction.
It is called a mixed number or a mixed fraction.
In the context of multiplying fractions, the term "proper shape" refers to the format in which the fractions are written before performing the multiplication operation. When multiplying fractions, it is essential to ensure that the fractions are in their simplest form, with no mixed numbers or improper fractions. This simplifies the calculation process and allows for easier manipulation of the numerators and denominators during multiplication. Therefore, maintaining the fractions in fraction form ensures accuracy and efficiency in the multiplication process.
Division is the multiplication by the reciprocal or multiplicative inverse. In simpler language, to divide by a fraction change the division sign to multiplication and flip the fraction.