Find the quotient. 2/9 ÷ 5/6
![🐯🐾Tiger🐾🐯](/images/users/0/1/128x128.jpeg)
2 years ago
![oobleck](/images/users/0/1/128x128.jpeg)
2 years ago
the question was to find
2/9 ÷ 5/6 = 2/9 * 6/5 = 12/45 = 4/15
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
To find the quotient of two fractions, you need to remember that dividing fractions can be done by multiplying the first fraction by the reciprocal of the second fraction.
In this case, to find the quotient of 2/9 ÷ 5/6, you need to follow these steps:
Step 1: Keep the first fraction as it is: 2/9
Step 2: Change the operation from division to multiplication: 2/9 x
Step 3: Find the reciprocal of the second fraction by swapping the numerator and denominator: 5/6 becomes 6/5
Step 4: Multiply the first fraction by the reciprocal of the second fraction: 2/9 x 6/5
Now, let's multiply the fractions together:
To multiply fractions, simply multiply the numerators together and the denominators together:
2/9 x 6/5
= (2 x 6) / (9 x 5)
= 12/45
As this fraction is not simplified, we can simplify it further by dividing both the numerator and denominator by their greatest common divisor which is 3:
12/45 ÷ 3/3
= 4/15
Therefore, the quotient of 2/9 ÷ 5/6 is equal to 4/15.