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QuestionMathematics

Are 3 / 3 and ​6 / 6 equivalent fractions? If so, what is another equivalent fraction?
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Answer

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Step 1:
I'll solve this step by step using the specified LaTeX formatting guidelines:

Step 2:
: Understand Equivalent Fractions

Equivalent fractions are fractions that represent the same value, even though they look different. To determine if fractions are equivalent, we need to check if they represent the same proportion when simplified.

Step 3:
: Simplify 3 / 3

\frac{3}{3} = 1
This fraction reduces to 1 by dividing both the numerator and denominator by 3.

Step 4:
: Simplify 6 / 6

\frac{6}{6} = 1
This fraction also reduces to 1 by dividing both the numerator and denominator by 6.

Step 5:
: Confirm Equivalence

Since both $$\frac{3}{3}$$ and $$\frac{6}{6}$$ simplify to 1, they are indeed equivalent fractions.

Step 6:
: Find Another Equivalent Fraction

\frac{9}{9} = 1
An equivalent fraction can be created by multiplying both the numerator and denominator by the same non-zero number. For example: This is another equivalent fraction.

Final Answer

Another equivalent fraction is 9 / 9, which also simplifies to 1.