Algebraic fractions:
Add the following and express your answer as a single fraction.
9/y^2÷2y/10
I have no idea what to do.
First flip the fraction and turn it into a multiplication problem
9/y^2 x 10/2y
Reply if you get stuck
oh ok thanks =)
To add the given algebraic fractions and express the answer as a single fraction, we can follow these steps:
Step 1: Simplify both fractions individually, if possible.
In this case, the first fraction 9/y^2 doesn't simplify further, but the second fraction 2y/10 can be simplified by canceling out a common factor of 2. This gives us y/5.
So, the expression now becomes 9/y^2 ÷ y/5.
Step 2: Inverse the second fraction (y/5) to get its reciprocal by swapping the numerator and denominator. So, it becomes 5/y.
Step 3: Since division is equivalent to multiplication by the reciprocal, we can rewrite the expression as multiplication:
9/y^2 × (5/y).
Step 4: Multiply the numerators (9 × 5) to get the new numerator and multiply the denominators (y^2 × y) to get the new denominator. This gives us:
45/y^3.
Therefore, the sum of the given algebraic fractions expressed as a single fraction is 45/y^3.