-1/6 divided by 2/9
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 2/9 is 9/2.
(-1/6) ÷ (2/9) = (-1/6) * (9/2)
The numerators can be multiplied together: -1 * 9 = -9. The denominators can also be multiplied: 6 * 2 = 12.
Therefore, (-1/6) ÷ (2/9) = -9/12.
This fraction can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 3:
(-9/3) ÷ (12/3) = -3/4.
So, -1/6 divided by 2/9 equals -3/4.
To divide -1/6 by 2/9, you need to multiply the dividend (-1/6) by the reciprocal of the divisor (2/9). The reciprocal of a fraction is obtained by swapping the numerator and denominator.
Reciprocal of 2/9: 9/2
Now, you can multiply -1/6 by 9/2.
(-1/6) * (9/2) = -1/6 * 9/2
Next, simplify the multiplication:
-1/6 * 9/2 = (-1 * 9) / (6 * 2)
Multiplying the numerators and denominators:
-9 / 12
The fraction -9/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3:
(-9 ÷ 3) / (12 ÷ 3) = -3/4
Therefore, -1/6 divided by 2/9 equals -3/4.
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and denominator.
Let's solve the expression (-1/6) divided by (2/9):
Step 1: Find the reciprocal of the second fraction.
The reciprocal of 2/9 is 9/2.
Step 2: Multiply the first fraction by the reciprocal of the second fraction.
(-1/6) × (9/2)
Step 3: Multiply the numerators (top numbers) and denominators (bottom numbers) separately.
(-1 × 9) / (6 × 2)
Step 4: Simplify the resulting fraction, if possible.
-9/12
The final result is -9/12, which can be further simplified by dividing both numerator and denominator by their greatest common divisor, which is 3:
-3/4
Therefore, (-1/6) divided by (2/9) is equal to -3/4.