Solve the Fraction Problem: Evaluating 2/-9

Q: Should I write the negative sign in front or keep it in the denominator?

Both $ -\frac{2}{9} $ and $ \frac{2}{-9} $ are correct, but standard form puts the negative sign in front: $ -\frac{2}{9} $

Q: Do I need to simplify this fraction further?

No! Since 2 and 9 share no common factors (2 is even, 9 is odd), the fraction $ -\frac{2}{9} $ is already in simplest form.

Q: How do I remember the sign rules for division?

Use this simple pattern:Same signs (both + or both -) → positive resultDifferent signs (one +, one -) → negative result

Q: What if both the numerator and denominator were negative?

If you had $ \frac{-2}{-9} $, the negatives would cancel out because negative ÷ negative = positive, giving you $ \frac{2}{9} $.

Fraction Division with Negative Numbers

Solve the following:

$\frac{2}{-9}=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following:

$\frac{2}{-9}=$

Step-by-step solution

First let's remember that we are dividing a positive number by a negative number, so the result must be a negative number.

Then we will divide the numerator and the denominator by the highest number that both are divisible by.

In this case, there is no number by which we can divide, so the fraction remains as it is.

Final Answer

$-\frac{2}{9}$

Key Points to Remember

Essential concepts to master this topic

Sign Rule: Positive divided by negative always gives negative result
Technique: Keep fraction form: $\frac{2}{-9} = -\frac{2}{9}$
Check: Verify sign: positive ÷ negative = negative answer ✓

Common Mistakes

Avoid these frequent errors

Ignoring the negative sign in the denominator
Don't treat $\frac{2}{-9}$ as positive = $\frac{2}{9}$ ! The negative in the denominator makes the entire fraction negative. Always apply the sign rule: positive ÷ negative = negative.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction shown in the diagram as a number:

FAQ

Everything you need to know about this question

Why is the answer negative when only the denominator is negative?

When dividing numbers with different signs (one positive, one negative), the result is always negative. Think of it as: 2 ÷ (-9) = -0.222...

Should I write the negative sign in front or keep it in the denominator?

Both $-\frac{2}{9}$ and $\frac{2}{-9}$ are correct, but standard form puts the negative sign in front: $-\frac{2}{9}$

Do I need to simplify this fraction further?

No! Since 2 and 9 share no common factors (2 is even, 9 is odd), the fraction $-\frac{2}{9}$ is already in simplest form.

How do I remember the sign rules for division?

Use this simple pattern:

Same signs (both + or both -) → positive result
Different signs (one +, one -) → negative result

What if both the numerator and denominator were negative?

If you had $\frac{-2}{-9}$ , the negatives would cancel out because negative ÷ negative = positive, giving you $\frac{2}{9}$ .

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