Compute: 9/11
÷ 1/3
. Simplify the answer if possible.
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 1/3 is 3/1.
So, the expression becomes: 9/11 * 3/1
Multiplying the numerators (9 * 3) and the denominators (11 * 1), we get:
27/11
Therefore, the simplified answer is 27/11.
To compute 9/11 ÷ 1/3 and simplify the answer, you need to follow these steps:
1. Rewrite the division problem as a multiplication problem by taking the reciprocal of the second fraction. This means flipping the numerator and denominator of the second fraction. So, the problem becomes: 9/11 × 3/1.
2. Multiply the numerators (top numbers) together: 9 × 3 = 27.
3. Multiply the denominators (bottom numbers) together: 11 × 1 = 11.
4. Write the product as a fraction, with the result from step 2 as the numerator and the result from step 3 as the denominator. So, the simplified answer is 27/11.
Alternatively, you can simplify the fraction further by reducing it to its simplest form. To do this, you need to find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 27 and 11 is 1. Since there is no common factor other than 1, the fraction 27/11 cannot be simplified any further. So, the final answer is 27/11.
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
So, to solve 9/11 ÷ 1/3, you multiply 9/11 by 3/1 (the reciprocal of 1/3):
(9/11) x (3/1) = (9 x 3) / (11 x 1) = 27/11
The answer, 27/11, cannot be simplified any further because 27 and 11 do not have any common factors other than 1.