It is not just in fractions. In general, division can be defined as multiplication by the reciprocal. For example, dividing by 5 is the same as multiplying by 0.2. However, it is mainly in calculations with fractions that this is normally used as a practical way of doing the calculations.
Multiply the reciprocal of the divisor by the dividend.
Dividing by any fraction is the same as multiplying by that fraction's reciprocal. To find a fraction's reciprocal on a calculator, simply raise the fraction to the power of -1. In this case, dividing by 1/3 is the same as multiplying by (1/3)-1 = 3. For example, 8 / 1/3 = 8 x 3 = 24
Convert the mixed number to an improper fraction then the reciprocal can be found: 1/(2 1/5) = 1/((5×2+1)/5) = 1/(11/5) = 5/11
A reciprocal of a number is the value you get by dividing 1 by the number. For example, if you want to find the reciprocal of 10, then you divide 1 by 10 and you get 1/10. You can find the reciprocal of a fraction as well. Thus if you want the reciprocal of 1/10 then you divide 1 by 1/10 which is (1)/(1/10) which yields the original number we started with, namely 10. So 10 and 1/10 are reciprocals of each other. Note also that multiplying any number by its reciprocal will always yield 1.
When dividing a whole number by a fraction with a numerator of 1, you can think of the division as a fraction divided by a fraction. To find the quotient, you can multiply the whole number by the reciprocal of the fraction (flipping the fraction), which is essentially the same as multiplying by the fraction's denominator. This process is based on the concept that division is the same as multiplication by the reciprocal.
Multiply the reciprocal of the divisor by the dividend.
Dividing by any fraction is the same as multiplying by that fraction's reciprocal. To find a fraction's reciprocal on a calculator, simply raise the fraction to the power of -1. In this case, dividing by 1/3 is the same as multiplying by (1/3)-1 = 3. For example, 8 / 1/3 = 8 x 3 = 24
To get the reciprocal of a fraction, exchange the numerator and denominator.
Most people find multiplication by a fraction easier than dividing by a fraction. Dividing by a fraction is equivalent to multiplying by its reciprocal. For example, 10 / (3/4) would require you to divide by 3/4. How many three-quarters in ten? Hmmm... Not that easy. Instead, try multiplying by 4/3 Much easier: 10*(4/3) = 40/3 = 13.33...
The reciprocal is the inverse of a number, or n-1. To find a reciprocal, change the number to a fraction and invert the numerator and the denominator.
The reciprocal of the fraction is simply the fraction raised to the -1 power. Simply "flip the fraction upside down" to find the reciprocal. e.g. 3/23 has a reciprocal of 23/3.
The divisor is the number doing the dividing, rather than the number being divided. For example, in the problem 144/12, 12 is dividing into 144, so 12 is the divisor. If you are dividing mass by volume to attempt to find density, the volume measurement will be the divisor.
1/3. The fraction for 3 is 3/1, and to find a reciprocal, you have to flip the fraction.
When dividing two fractions, multiply the first fraction by the second fraction's reciprocal. 2/3 divided by 3/4 = 2/3 x 4/3
To find a fraction equivalent to 95/100, we need to simplify the fraction by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 95 and 100 is 5. Dividing both numbers by 5 gives us 19/20. Therefore, the fraction equivalent to 95/100 is 19/20.
Number x Reciprocal = 1 Therefore Reciprocal = 1/Number
To find the reciprocal of a fraction, you turn it upside down. So the reciprocal of 1/2 is 2/1, or just 2.