Operations with Fractions Flashcards
How do you add fractions?
- Make sure the denominators (the bottom numbers) are the same.
- Add the numerators (the top numbers) and put the result over the common denominator.
- Simplify the fraction if possible.
How do you subtract fractions?
- Find a common denominator.
- Subtract the numerators and put the result over the common denominator.
- Simplify the fraction if possible.
How do you make the denominators the same when adding or subtracting?
- Identify the denominators of the fractions we want to add.
- Find the least common multiple (LCM) of the denominators.
- Convert each fraction to an equivalent fraction with the LCM as the denominator.
How do you multiply fractions?
- Convert to improper fractions if needed.
- Multiply the numerators (the top numbers) together.
- Multiply the denominators (the bottom numbers) together.
- Simplify the resulting fraction if possible.
How do you divide fractions?
- Turn the second fraction (the one you want to divide by) upside down (this is now a reciprocal).
- Multiply the first fraction by that reciprocal.
- Simplify the fraction (if needed).
What are the rules for the following operation?
a/b + c/d
To solve the expression a/b + c/d, we need to find a common denominator. The common denominator is bd, so we can rewrite the expression as (ad + bc) / bd[1].
Therefore, a/b + c/d = (ad + bc) / bd.
What are the rules for the following operation?
(a/b) / (c/d)
To solve (a/b)/(c/d), we can simplify the expression by multiplying the numerator by the reciprocal of the denominator.
This gives us:(a/b)/(c/d) = (a/b) * (d/c) = ad/bc
Therefore, the solution to (a/b)/(c/d) is ad/bc.
What are the rules for the following question?
(a/b) * (c/d)
To solve (a/b) * (c/d), we simply multiply the numerators and denominators separately, then simplify if possible.
(a/b) * (c/d) = (a * c) / (b * d)
Therefore, the solution is (a * c) / (b * d).
