Question

2/3 and 6/9 are equivalent fractions?​

Answer 1

Explanation:

Ok: There are two steps.

Answer: They are both equivalent

1. Find the common multiple of both 2/3 and 6/9

The common multiple is 9, so increase 3 to the multiple!

2/3,6/9=

6/9,6/9

6/9=6/9 So The Statement is True!

2. Method 2

6/9 is not simplified. To simplify, you need to divide by a common factor.

In this case the common factor is 3.

6/9/3=

2/3=2/3

The statement is TRUE

Answer 2

Equivalent fractions are those that equal the same number.

We can apply two methods to find equivalent fractions:

Amplification: we multiply the numerator and the denominator by the same number.

Simplification: we divide the numerator and the denominator by the same number that divides them exactly.

To find out if two fractions are equivalent, we can transform them into a decimal number by dividing the numerator by the denominator.

The fractions two thirds and six ninths are equivalent because they are equivalent to the same decimal number:

`\begin{gathered} \sf \boxed{ (2)/(3)} = 2 / 3 = 0.666 \\ \\ \sf \boxed{(6)/(9)}= 6 / 9 = 0.666\end{gathered}`

We can also amplify the first fraction or simplify the second fraction:

`\begin{gathered} (2)/(3) = (2 * 3)/(3 * 3) = (6)/(9) \\ \\ \sf\boxed{ \sf(6)/(9)} = \sf \boxed{ \sf(6 / 3)/(9 / 3) }= \sf \boxed{(2)/(3)} \end{gathered}`

The Alpha.