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To get the right answer. What's your alternative?

1/2 x 2/3 = 2/6 = 1/3

It stands to reason that since two thirds is made up of two quantities of one third each, half of two thirds would be one third. Multiplying just the numerators or just the denominators wouldn't give you that result. If you think about it, you're doing the same thing when you multiply whole numbers. Any whole number can be written over 1.

3/1 x 4/1 = 12/1

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Q: Why do you multiply both the numerator and denominator in multiplying fractions?
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Related questions

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


How do you make fractions into equivalent fractions?

You multiply (or divide) the numerator and the denominator by the same number. For example, 1/2 is equivalent to 3/6, which you get by multiplying both parts (numerator and denominator) by 3.


When you multiply fractions which reciprocal do you use?

None. Multiply numerator by the numerator and denominator by denominator.


When you multiply fractions do you multiply the denominator?

yes. you multiply the numerator and denominator


When dividing fractions is a reciprocal used by multiplying?

Yes. One method for dividing fractions is to multiply the numerator fraction by the reciprocal of the denominator fraction.


How do you add two fractions with a different denominator?

You add two fractions with a different denominator by multiplying the denominators by a number that will make them equal. Be sure to multiply the numerator by that number too.


Do you have to have a common denominator when your multiplying?

no u dnt need to have a common denominator.. Just multiply both the denominator and numerator of the fractions u are working on and u will arrive at the answers


How to multiply mixed numbers?

First change the mixed numbers into improper fractions by multiplying the denominator and the whole number and add the product to the numerator in the mixed numbers and then multiply the numerators and the denominators and divide the numerator by the denominator of the product.


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.


Division of fractions?

You can divide fractions by multiplying them by their reciprocal. You take the bottom fraction and turn it over, making the denominator the numerator. Once you have done this, you can simply multiply.


How do you multiply frations in math problems?

When you multiply fractions just line them up (denominator and denominator, numerator and numerator) then multiply across. Simplify.


When you multiply two fractions does the number get greater or less than the two fractions multiplied?

if you mean multiplying something by a fraction where the numerator is smaller than the denominator then yes.