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Three books plus five books equals eight books.

Three bananas plus five bananas equals eight bananas.

Three houses plus five houses equals eight houses.

Three tenths plus five tenths equals eight tenths.

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Q: When adding fractions with the same denominator why do you only add numerators?
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Do you add the denominator?

When adding like fractions, only the numerators are added.

How is multiplying fractions by a whole number is different from adding adding and subtracting fractions with like denominators?

Adding and subtracting fractions can ONLY be done if the denominators are the same; then the calculation is done by adding or subtracting the numerators. Multiplying (and dividing) fractions does not require the denominators to be the same. To divide by a fraction the divisor is inverted (the original numerator becomes the new denominator and the original denominator becomes the new numerator) and then the fractions are multiplied. Multiplying fractions is achieved by multiplying the numerators together AND multiplying the denominators together. A whole number is the same as a fraction with the whole number as the numerator and a denominator of 1, so when multiplying by a whole number the denominator is multiplied by 1 (leaving it the same) and the is multiplication is effectively just multiplying the numerator by the whole number.

Do you need a common denominator for dividing fractions?

No only when adding or subtracting fractions a common denominator is needed

What is the sum of two thirds and four ninths?

Only fractions with the same denominator can be added directly. Addition of such fractions can be achieved by adding their numerators to form the numerator of the sum, with the common denominator of the added fractions constituting the denominator of the sum. In this instance, 2/3 = 6/9, and 4/9 + 6/9 = 10/9.

When you add or subtract fractions with the same denominators what happens to the denominator in your answer?

It stays the same. Only the numerators change.

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.

Does division need a common denominator?

No, You only need a common denominator when adding or subtracting fractions.

Why do you need a common denominator when you add fractions?

Unless you are using a calculator that adds them for you, it is much harder to add fractions with uncommon denominators. Having the same denominator allows you to only have to add the numerators for your answer.

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).

Do you always have to find common denominator when working with fractions?

No. Only if you're adding or subtracting and then only if the denominators are different.

What is the instruction of adding similar fractions?

The instructions are quite simple, but this is for similar denominators: 1. Line them up. 2. Add the numerators. 3. Put your sum over the same denominator as the other fractions. 4. *ONLY IF THE NUMERATOR IS LARGER THEN THE DENOMINATOR* Turn the improper fraction into a mixed number. However, if the problem states it wants it as an improper fraction, which normally it won't, leave it as it is.

How do you minus 2 fractions?

find the lowest common denominator so both have the same denominator, then subtract the numerators only leaving the denominator the same For example 1/2 - 1/4 2/4-1/4 = 1/4