Theory:

Dividing a fraction by another fraction:
  
To divide a fractional number with another fractional number, follow the steps below:
 
Step 1: Take the reciprocal of the divisor.
 
Step 2: Multiply the reciprocal of the divisor with the dividend to get the new numerator and denominator of the fraction.
  
Reciprocal of a fraction: The reciprocal of a fraction can be obtained by interchanging the numerator and denominator of the fraction. For example, reciprocal of 12is21. The non-zero numbers whose product with each other is \(1\) are called the reciprocals of each other that is, 12×21=1. Hence, 12and21 are reciprocals of each other.
Example:
1256=?Step1:Takethereciprocalofdivisor(56)=65Step2:Multiplythedividend(12)by65=12×65=35NewnumeratorNewdenominator=35
Number of negative fractionsSign of new fraction
Even
\(+\)
Odd
\(-\)
 
Division of the whole number by a fraction:
  
Dividing a whole number by a fraction will follow the same procedure as dividing a fraction by another fraction.
Example:
Letusfind1÷14Step1:Reciprocalofthedivisor,14  is41Step2:Multiplythedividend(1)by41=1×4=4
Division of a fraction by a whole number:
  
Dividing a fractional number by a whole number will follow the same procedure as dividing a fraction by another fraction.
Example:
Letusfind14÷1Step1:Reciprocalofthedivisor,1is1Step2:Multiplythedividend14by1=14
Division of mixed fractions:
 
First, convert the mixed fractions to improper fractions and divide the fractions.