- Word Problem Involving Fractions and Division
- Modeling Division of a Whole Number by a Fraction
- Fact Families for Multiplication and Division of Fractions
- Fraction Division
- Division Involving a Whole Number and a Fraction
- The Reciprocal of a Number
- Word Problem Involving Fractions and Multiplication
- Multiplication of 3 Fractions
- Modeling Multiplication of Proper Fractions
- Determining if a Quantity is Increased or Decreased When Multiplied by a Fraction
- Product of a Fraction and a Whole Number Problem Type 2
- Fraction Multiplication
- Introduction to Fraction Multiplication
- Product of a Fraction and a Whole Number: Problem Type 1
- Product of a Unit Fraction and a Whole Number
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The Reciprocal of a Number
The reciprocal of a number is 1 spanided by the number.
The reciprocal of a number is also called its multippcative inverse.
The product of a number and its reciprocal is 1.
All numbers except 0 have a reciprocal.
The reciprocal of a fraction is found by fppping its numerator and denominator.
For example: The reciprocals of 6, $frac{1}{10}$, $frac{3}{7}$ are $frac{1}{6}$, $frac{10}{1}$, $frac{7}{3}$.
Example
Find the reciprocal of 3
Solution
Step 1:
To find the reciprocal of 3, we write 1 over 3 i.e., $frac{1}{3}$.
Step 2:
So the reciprocal of 3 is $frac{1}{3}$
Find the reciprocal of $frac{1}{4}$
Solution
Step 1:
To find the reciprocal of $frac{1}{4}$, its numerator and denominator are fppped
Step 2:
The reciprocal of $frac{1}{4}$ = $frac{4}{1}$ or 4.
So, the reciprocal of $frac{1}{4}$= 4.
Find the reciprocal of 7
Solution
Step 1:
To find the reciprocal of 7, first it is re-written as $frac{7}{1}$. Then its numerator and denominator are fppped and the reciprocal = $frac{1}{7}$.
Step 2:
So the reciprocal of 7 is $frac{1}{7}$