-1/6 divided by 2/9
To divide two fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 2/9 is 9/2.
So, (-1/6) divided by (2/9) can be written as:
(-1/6) * (9/2)
Multiplying the numerators and denominators together:
(-1 * 9) / (6 * 2)
Simplifying the numerator and denominator:
-9 / 12
The fraction -9/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
-9/12 = (-9/3) / (12/3) = -3/4
Therefore, -1/6 divided by 2/9 is equal to -3/4.
To divide -1/6 by 2/9, we can follow these steps:
Step 1: Flip the second fraction
Flip the fraction 2/9, which means writing it as 9/2.
Step 2: Multiply the fractions
Multiply the numerators together and the denominators together.
-1/6 * 9/2 = (-1 * 9) / (6 * 2) = -9 / 12
Step 3: Simplify the fraction
Simplify the fraction if possible.
-9/12 can be simplified by dividing both the numerator and denominator by the greatest common divisor (GCD), which is 3.
-9/12 = (-9 ÷ 3) / (12 ÷ 3) = -3/4
So, -1/6 divided by 2/9 is equal to -3/4.
To divide fractions, you need to follow these steps:
Step 1: Flip the second fraction.
- In this case, it means taking the reciprocal of 2/9, which is 9/2.
Step 2: Multiply the fractions.
- Multiply the two fractions together:
- (-1/6) * (9/2) = (-1 * 9) / (6 * 2)
Step 3: Simplify the resulting fraction (if necessary).
- Simplify the numerator and denominator if they have common factors. In this case, the numerator and denominator have no common factors, so you can leave it as it is.
Therefore, the result of (-1/6) divided by (2/9) is:
- (-1 * 9) / (6 * 2) = -9/12 = -3/4
Hence, the answer is -3/4.