Definition
Fraction as division
A fraction a/b can represent the division a ÷ b, provided b is not zero.
Continue from this idea into connected AXIO math.
Boundary check: The fraction bar means division, and the divisor 8 must be nonzero.
What it means
The fraction bar can be read as “divided by.” Three fourths is the result when 3 wholes are shared equally among 4 groups, so each group receives 3/4 of a whole. Keep the order: 3/4 means 3 ÷ 4, not 4 ÷ 3.
Remember it
Read the fraction bar as “divided by”: top ÷ bottom.
Example
Five sandwiches are shared equally among 8 children. Each child receives 5 ÷ 8 sandwich, which is 5/8 of a sandwich.
Watch for
The denominator cannot be zero because division by zero is undefined.
Common mix-up
Do not reverse the numbers: a/b means a divided by b, not b divided by a.
Exact meaning
For numbers a and nonzero b, the fraction a/b is the quotient a ÷ b. The numerator is the dividend and the denominator is the divisor.