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When you multiply fractions do you reduce?
When you multiply fractions, you do not need to reduce them before multiplying. Instead, you multiply the numerators together and the denominators together to get the result. However, you can simplify the result afterward if possible. Reducing before multiplying can make the calculation easier, but it's not necessary.
What do you do if you are multiplying three fractions?
Multiply any two of them together first and then multiply the result by the third fraction.
Adding and subtracting unlike denominators?
Fractions can only be added or subtracted if the denominators are the same. If the denominators are different, then the fractions need to be made into equivalent fractions with the same denominator. The new denominator can be found simply by multiplying the denominators together, but this can lead to some large fractions with which to work. A better new denominator is the lowest common multiple of (all the) denominators. (Once the new denominator is found, the fractions' new numerators are found by multiplying their current numerator by the new denominator divided by their current denominator to make their equivalent fractions with the new denominator.) Once all the fractions are converted into equivalent fractions with the new denominator then the fractions can be added or subtracted, with the result being simplified (if possible).
Why don't you have to find a common denominator when multiplying fractions?
Multiplying fractions is quite different from adding them. You just multiply the numberators and the denominators separately. You can find the common denominator if you like, but in the end (after simplifying), you'll get the same result, and the additional work of finding the common denominator and converting the fractions turns out to be unnecessary. Try it out for some fractions!
How sustract fractions?
Determine the lowest common denominator. Multiply the numerator and denominator of each fraction by a number that will result in the denominator becoming the LCD. The purpose for multiplying both the numerator and denominator is that any number divided by itself = 1, and when you multiply something by 1, you don't change it. When subtracting two fractions with the same denominators, the first numerator minus the second numerator equals the numerator of the result, and the result has the same denominator (the LCD). Simplify.
How is the process used to divide fractions similar to the process used to multiply fractions?
The process of dividing fractions is similar to multiplying fractions in that both involve manipulating the fractions to simplify the operation. When multiplying, you multiply the numerators and the denominators directly. In division, you invert the second fraction (the divisor) and then multiply, which essentially turns the division into multiplication. Both processes emphasize working with numerators and denominators to arrive at a simplified result.
Why is there a need to reduce fractions to their lowest terms?
It isn't always strictly necessary; but imagine putting the result of some complicated calculations as 335/670. Anybody might ask, "why didn't you write this as 1/2?" It is usually preferable, easier to understand, if the result is as simple as possible. In the case of fractions, this means reducing the fraction by taking out any common factors.
How is dividing fractions different from multiplying fractions?
(3/4) x (5/9) = (3x5)/(4x9) = 15/36, that is when you multiply fractions, you multiply the numerators and form the numerator of the result and multiply the denominators and form the denominator of the result (3/4) / (5/9) = (3/4) x (9/5) = 27/20, that is when you divide fractions, you first invert the fraction by which you are dividing and then multiply the numerators and form the numerator of the result and multiply the denominators and form the denominator of the result
How can you add fractions with different denominator?
To add fractions with different denominators, first find a common denominator, which is typically the least common multiple (LCM) of the two denominators. Next, convert each fraction to an equivalent fraction with this common denominator by multiplying the numerator and denominator by the necessary factors. Once both fractions have the same denominator, add their numerators together while keeping the common denominator, and simplify the result if possible.
Do you have to change the denominators when multiplying fractions?
No. To multiple fractions multiple the numerators together and multiply the denominators together and simplify (by dividing both numerator and denominator of the result by common factors until the only common factor is 1). The denominators only need to be the same when adding or subtracting fractions.
What are three fractions that are equivalent to 0.60?
1. Write this as 60/100. 2. Simplify the fraction as much as you can. 3. In the result of step (2), multiply top and bottom by the same number, to get an additional fractions. You can repeat (with the result of step (2)), multiplying top and bottom with different numbers (but always the same number for top and bottom), to get additional equivalent fractions.
What is the result of multiplying numbers called?
The result of multiplying numbers is called the product.
