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Yes because the numerator will not be right if the denominator doesn't have the same as the other denominator which will mess up the answer

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βˆ™ 10y ago
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Mitchell Thoms

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βˆ™ 4y ago

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Q: When multiplying fractions does the denominator have to be the same?
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When multiplying fractions when they have same common denominator do you multiply the denominators?

YES.


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 to change the denominator when multiplying fractions?

No.


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).


What are fractions that have the same denominator called?

Like Fractions

Related questions

When multiplying fractions when they have same common denominator do you multiply the denominators?

YES.


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.


How do you find common denominators with dividing fractions?

When you're dividing fractions ... or multiplying thrm ... they don't need to have the same denominator.


Do you need to change the denominator when multiplying fractions?

No.


Do you need a common denominator multiplying fractions?

No.


When you are multiplying fractions do you find the common denominator?

no


Why do you have to switch the numerator and denominator when dividing fractions?

This is because dividing by a number is the same as multiplying by its reciprocal.


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!


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).


What are fractions that have the same denominator called?

Like Fractions


Do you need a common denominator for dividing and multiplying fractions?

No you do not.


When multiplying fractions do you multiply the denominator?

When multiplying fractions you multiply the numerator to the numerator and the denominator to the denominator. For example: 2/3 x 4/5 = 2x4/3x5