Algorithm for Dividing a Unit Fraction by a Whole Number
The algorithm for dividing a unit fraction by a whole number is a Grade 5 math skill in enVision Mathematics, Chapter 9: Apply Understanding of Division to Divide Fractions. The rule is: (1/b) ÷ c = 1/(b×c). Students multiply the denominator of the unit fraction by the whole number to get the result, for example (1/3) ÷ 4 = 1/12.
Key Concepts
To divide a unit fraction by a whole number, multiply the denominator of the fraction by the whole number.
$$\frac{1}{b} \div c = \frac{1}{b \times c}$$.
Common Questions
How do you divide a unit fraction by a whole number?
Multiply the denominator of the unit fraction by the whole number. For example, (1/3) ÷ 4 = 1/(3×4) = 1/12.
What is (1/5) ÷ 3?
(1/5) ÷ 3 = 1/(5×3) = 1/15.
Why does dividing a fraction by a whole number make it smaller?
Dividing splits the fraction into even more equal parts, making each part smaller. The denominator gets larger, so the value of the fraction decreases.
Where is dividing unit fractions taught in enVision Grade 5?
Chapter 9: Apply Understanding of Division to Divide Fractions in enVision Mathematics, Grade 5.
What is a unit fraction?
A unit fraction is a fraction with a numerator of 1, such as 1/2, 1/3, or 1/7. These are the building blocks for all other fractions.