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When you multiply a fraction times a fraction the product will be smaller than either factor Why?
When you multiply two numbers greater than one, you create many groups of a given number, so the result is greater than either the number of groups or the number you created many groups of.
When you multiply a number by a number less than one, you create less than one group of a given number. If you create only part of one group of a given number, it makes sense that the result will be less than the number you started with.
What else can I help you with?
How do you multiply a fraction?
Multiply the numerators together. Multiply the denominators together. Reduce, if possible. The answer when multiplying fractions together will always be lower than either.
Is the numerator the smaller number or the bigger number?
It can be either. It is the number at the top of a fraction.
Why can you multiply two decimal numbers together and get an answer less than either one of the numbers you multiplied?
For the same reason that you can multiply two proper fractions and get a smaller number than either of them. You are multiplying either decimal by a number that is smaller than 1. As a result you get an answer that is smaller than 1 times the first number.
What fraction is not an equivalent fraction for one thirds?
Multiply the numerator (top) and the denominator (bottom) by any non-zero number and you will have an equivalent fraction. Change either one of them and you will have a fraction that is not equivalent.
When you multiply a fraction less than one by another fraction less than one your answer is always less than either factor?
That is true.
When you multiply two thirds by a fraction less than one how does the product compare to the factor?
The product is less than either factor.
When you multiply two thirds by a fraction less than one how does the product compare to the factors?
The product is less than either factor.
Why is the product of two positive proper fractions always less than either fraction?
because when you multiply the denominators it creates a much smaller proportion. for example multiply 0.5 by 0.5, the result is 0.25 in fractions it is 1/2 x 1/2, the result 1/4
Why when you multiply decimals the product of the numbers gets smaller?
When you multiply decimals, the product of the numbers gets smaller because decimals represent parts of a whole. When you multiply two decimals less than 1, you are essentially finding a fraction of a fraction, resulting in a smaller value. For example, when you multiply 0.1 by 0.1, you are finding 1/10 of 1/10, which is 1/100 or 0.01, a smaller value than either of the original decimals.
How do you multiply a fraction?
Multiply the numerators together. Multiply the denominators together. Reduce, if possible. The answer when multiplying fractions together will always be lower than either.
Why is it when you multiply two proper fractions your product is less than either factor?
Remember the denominator shows how many equal parts the item is divided into, so because you are multiplying the number of parts (you are increasing the number of cuts) the denominator will get bigger ...which in turn means the pieces will be smaller. Just remember the higher a denominator is the smaller it will be in size...multiplying a fraction means you are multiplying the number of cuts and sections that is why the size gets smaller.
How can you solve the circumference of a circle if pi has been used as a fraction?
You can either 1)You can divide out the fraction used for pi then multiply by the diameter or 2)Put the diameter over 1 then multiply across with the fraction used for pi.
Is the numerator the smaller number or the bigger number?
It can be either. It is the number at the top of a fraction.
Why can you multiply two decimal numbers together and get an answer less than either one of the numbers you multiplied?
For the same reason that you can multiply two proper fractions and get a smaller number than either of them. You are multiplying either decimal by a number that is smaller than 1. As a result you get an answer that is smaller than 1 times the first number.
What fraction is not an equivalent fraction for one thirds?
Multiply the numerator (top) and the denominator (bottom) by any non-zero number and you will have an equivalent fraction. Change either one of them and you will have a fraction that is not equivalent.
When you multiply a fraction less than one by another fraction less than one your answer is always less than either factor?
That is true.
Why is the product of two proper fractions less than either of the fractions?
A proper fraction is less than 1. Whenever you multiply something by a number < 1, the result (product) is less than the original number. So when you multiply a proper fraction by a number less one (such as another proper fraction, the product is less than the original proper fraction. The only time a product involving a given number is larger than the given number is when you multiply the given number by a number that is > 1. Since all proper fractions are < 1, products involving them are always less than the original given number.
