Question

What is the result of dividing 1/9 by 2/3?
1) 1/6
2) 2/3
3) 3/18
4) 1/3

Answer 1

Answer:

3) 3/18

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A cool way of solving this would be using the “Keep, change, flip” strategy.

The first step is by “keeping” the 1/9, which leaves us with the original equation: 1/9 ÷ 2/3

The second step is by “changing” the division symbol into multiplication leaving us with a new equation: 1/9 × 2/3

Then the last step is to “flip” 2/3, basically using the reciprocal, which leaves us with the final equation: 1/9 × 3/2.

1 × 3 = 3 (numerator)
9 × 2 = 18 (denominator)

Which leaves you with the answer of 3/18!

Answer 2

The result of dividing 1/9 by 2/3 is achieved by multiplying 1/9 by the reciprocal of 2/3, which is 3/2. The final simplified result is 1/6.

Step-by-step explanation:

When dividing fractions, such as dividing 1/9 by 2/3, we multiply by the reciprocal of the divisor. The reciprocal of 2/3 is 3/2. Therefore, the operation we need to perform is 1/9 multiplied by 3/2. To multiply these fractions, we multiply the numerators together and the denominators together.

The numerator will be 1 multiplied by 3, which equals 3, and the denominator will be 9 multiplied by 2, which equals 18. Simplifying 3/18, we can divide both the numerator and denominator by the common factor of 3, which gives us 1/6. So, the result of dividing 1/9 by 2/3 is 1/6.