How can you show that 1/3 and 4/12 are equivalent?
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the fractions:
⅓ and 4/12
Determine how the fractions are equivalent.
Solution:
In order to determine how the fractions are equivalent, we simply need to determine the decimal value of the numbers, to do so we divide the numerator by the denominator.
⅓
= 0.3333….
4/12
= 0.3333…
It can be seen that both fractions yield a repeating decimal, hence it can be designated with a word repeating enclosed with a parenthesis, an ellipsis, or a dash line. In our case we will use the ellipsis.
Final answer:
Both fractions are equivalent since their decimal value is 0.333…