Suppose at some point in your life you wanted to know the answer of 29 divided by 14. If you can estimate in your head that 30 divided by 15 is 2, you would expect the answer to be somewhere around two. Since 14 is a little less than half, you would expect the answer to be a little bit more than two. The actual answer of 29/14 is 2.07.
A common way is to round the divisor and the dividend to make them easy-to-work-with numbers. The quotient will be an estimate when you do this. Some people try to find the exact answer and then round it, but that defeats the purpose.
Example: 6,473 divided by 84. I would say the first number is close to 6,400 (not really rounding, but making it easy) and round the second number to 80. Now it's easy to do in your head. The estimated answer is 80. If I rounded the first number to 6,500, it wouldn't have been as easy to do, but it would be a little closer to my exact answer. I would say that's about 81 and not worry about anything after the decimal.
The lower the place value you round to, the closer your estimate will be to the exact answer. You should round to whatever place makes it easy to do the problem and still gets you as close as you want to be to the exact answer.
A quotient is the solution to a division problem, such as 4÷2=2
Since you asked what the quotient of a fraction is, I'll assume that you mean how to solve a division problem that involves fractions. Otherwise, the quotient is basically the outcome of division.
Let us take the example of 2/3÷3/5
To divide with a fraction, you must simply find the reciprocal of the fraction that you're dividing by. That is to say, the opposite of the fraction, by switching the numerator and the denominator. For example, 3/4 becomes 4/3. 6/7 becomes 7/6. 100/3 becomes 3/100.
Remember, it is important you only find the reciprocal of the numbers you're dividing by, or else you change the entire problem! Also remember to convert mixed numbers into improper fractions before attempting this.
2/3÷3/5 becomes 2/3×5/3
Next, you multiply the fractions, the numerator with the numerator, the denominator with the denominator (I'll also assume you know how to simplify by factors, as I won't show you how to at this moment.)
2/3×5/3 becomes 10/6
Simplify further, and the answer becomes 5/3.
This also works with any number, and is a very simple rule.
The quotient is larger than the original fraction.
The quotient is less than the fraction.
The quotient is the result when you divide a numerator of a fraction by the denominator
Neither. A fraction is a quotient. The line in a fraction can be read as "divided by." 3/4 is the same as 3 divided by 4. The 3 is the dividend, the 4 is the divisor and 3/4 is the quotient.
fractions divided to quotient
3.1111
quotient?
Because it's a fraction
'3' is the quotient. 7/3 as a fraction can also be read as ; '7' is the numerator, and '3' is the denominator'.
40/x
0.3333
no