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As multiplication is related to addition, division is related to subtraction: when dividing one number (the dividend) by another (the divisor) the division tells you how many times you can subtract the divisor from the dividend before the result passes zero (and becomes negative). For example:
20 ÷ 5 = 4 tells you that you can subtract 5 four times from 20 (to reach zero), but if you subtract any more it will become negative.
If the dividend is not a multiple of the divisor, then after a certain number of subtractions the result will be greater than zero but also less than the divisor - this is the remainder, eg 22 ÷ 5 = 4 remainder 2, since: 22 - 5 = 17 (once); 17 - 5 = 12 (twice); 12 - 5 = 7 (thrice); 7 - 5 = 2 (four times); if we subtract 5 again, the result is negative (2 - 5 = -3). When dealing with whole numbers, this is as far as we can go and we say 22 ÷ 5 = 4 remainder 2.
However, if we allow for fractions, then we could subtract a fraction of 5 and reach (but not pass) zero. So what fraction of 5 is the remainder 2? Answer: 2/5 (two fifths). So we could subtract a further 2/5 of 5 = 2/3 × 5 = 2 from 2 to get to zero. Thus, if we allow for fractions, we can say 22 ÷ 5 = 4 2/5 (or 4.4 as a decimal).
This is true of all divisors: if there is a remainder greater than zero but less than the divisor, then that remainder (as the numerator) over the divisor (as the denominator) is the fraction of the divisor that needs to be subtracted to reach, but not pass, zero. (This fraction can be simplified, for example 14 ÷ 4 = 3 remainder 2, which with fractions is 3 2/4, but 2/4 can be simplified to 1/2 (as they are equivalent fractions), so 14 ÷ 4 = 3 1/2 (or 3.5 as a decimal).
This the remainder can be represented as a fraction (of the divisor).
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How do you make an improper in to a mixed fraction?
The improper fraction usually has a numerator that is greater than the denominator. Divide the numerator by the denominator. In most cases you will get a quotient and a remainder. Now write the quotient and suffix it with the fraction represented by the remainder obtained above as the numerator and the original denominator as the new denominator as well.
How do you make a remainder into a fraction?
The fraction is the remainder divided by the original divisor.
Can a fraction be represented as a whole?
If the fraction is something like 4/2 or 18/3, it can be expressed as 2 and 6, respectively. This is same for all fraction in which the numerator (top number), can be divided by the denominator (bottom number), without any remainder.
How do you interpret the remainder to a fraction?
The remainder divided by the divisor is the fraction. For example 12 divided by 7 is 1 with remainder of 5; the remainder fraction is 5/7 so answer is 1 and 5/7
How can you turn a remainder to a fraction?
you can't turn a reminder in to a fraction
How do you make an improper in to a mixed fraction?
The improper fraction usually has a numerator that is greater than the denominator. Divide the numerator by the denominator. In most cases you will get a quotient and a remainder. Now write the quotient and suffix it with the fraction represented by the remainder obtained above as the numerator and the original denominator as the new denominator as well.
How do you make a remainder into a fraction?
The fraction is the remainder divided by the original divisor.
How do you interpret the remainder to a fraction?
The remainder divided by the divisor is the fraction. For example 12 divided by 7 is 1 with remainder of 5; the remainder fraction is 5/7 so answer is 1 and 5/7
Can a fraction be represented as a whole?
If the fraction is something like 4/2 or 18/3, it can be expressed as 2 and 6, respectively. This is same for all fraction in which the numerator (top number), can be divided by the denominator (bottom number), without any remainder.
How many times does 32 go into 2205?
68 full times, with a remainder of 29 (68.90625). The fraction is represented as follows: 2205 / 32, where the numerator is 2205 and the denominator is 32.
How can you turn a remainder to a fraction?
you can't turn a reminder in to a fraction
What fraction is represented at point A?
There is no point A and so nothing is represented.
What is 7 remainder 1 as a fraction?
When we say "7 remainder 1," we mean 7 divided by 1 leaves a remainder of 1. This can also be expressed as 7 divided by 1 equals 7 with a remainder of 1. To write this as a fraction, we can express it as 7/1 + 1/1, which simplifies to 8/1 or simply 8.
Can the mean have a remainder?
Yes the mean can have a remainder but the remainder would normally be either rounded or converted into a fraction.
What is the number represented by a whole number and a fraction?
It is a mixed fraction.
What fraction of a dollar is represented by 10 dimes?
The fraction is 1.
What is 2 divided by 23 and what is the remainder?
0.087
