UPSKILL MATH PLUS
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Learn more1. 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 is The non-zero numbers whose product with each other is \(1\) are called the reciprocals of each other that is, . Hence, and are reciprocals of each other.
Let us find the value of
Step 1: Take the reciprocal of divisor .
Step 2: Multiply the dividend by
\(\frac{\text{New Numerator}}{\text{New Denominator}}\) \(=\)
2. 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:
Let us find
Step 1: Reciprocal of the divisor, is
Step 2: Multiply the dividend (\(1\)) by .
3. 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:
Let us find .
Step 1: Reciprocal of the divisor, \(1\) is \(1\).
Step 2: Multiply the dividend by .
4. Division of mixed fractions:
First, convert the mixed fractions to improper fractions and divide the fractions.
Example:
Convert to an improper fraction.
Step 1: Numerator of improper fraction \(=\) (denominator of the proper fraction \(×\) whole number) \(+\) numerator of a proper fraction.
\(= 5 × 4 = 20 + 10 = 30\).
Step 2: Denominator of improper fraction \(=\) denominator of the mixed fraction.
The denominator of improper fraction \(= 5\).
Improper fraction \(= 30 / 5 = 6\).
Thus, \(= 6\).
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