Writing Division as a Fraction
Writing Division as a Fraction is a Grade 5 math skill in Eureka Math, Chapter 20: Fractions as Division, where students learn to express any division problem a divided by b as the fraction a/b, establishing the fundamental connection between the two representations. This insight is used throughout mathematics to interpret fractions as quotients and to simplify division expressions.
Key Concepts
A division problem can be written as a fraction, where the dividend is the numerator and the divisor is the denominator. $$a \div b = \frac{a}{b}$$.
Common Questions
How do you write a division problem as a fraction?
Write the dividend as the numerator and the divisor as the denominator. For example, 7 divided by 3 is written as 7/3. The fraction bar means the same thing as the division symbol.
Why is a fraction the same as division?
A fraction a/b represents the result of dividing a into b equal parts. So 3/4 is the number you get when you divide 3 by 4, which equals 0.75.
When is it useful to write division as a fraction?
When division does not result in a whole number, writing it as a fraction gives the exact answer in a simple form. It is also useful for simplifying algebraic expressions and ratios.
What is Eureka Math Grade 5 Chapter 20 about?
Chapter 20, Fractions as Division, teaches students that every fraction represents a division problem, that division can be written as a fraction, and how to compare shares in word problems.