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Q: When multiplying two mixed numbers the reciprocal of the second mixed number must be used true or false?
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What is 2.5 divided by 0.001?

2500


How does the reciprocal compare with the original number?

It actually doesnt because you flip the second fraction


What is the reciprocal of 25 feet per second?

0.25 no, 0.25 (or 1/4), is the reciprocal of 4. the reciprocal of 25 is 1/25


Why does the way you divide fractions work?

When one number is divided by another it is the same as putting the first number over the second. If both the numbers are whole numbers, this creates a fraction. For example 4 ÷ 5 = 4/5 (four divided by five is the same as four fifths). But there is nothing from a mathematical point of view to prevent writing one fraction over another. Thus dividing fractions is the same as writing one fraction over another, which looks like a fraction. For example ½ ÷ ⅝ = (½)/(⅝) To create an equivalent fraction the top and bottom of a fraction are multiplied (or divided) by the same value. So having written a division of two fractions as the first over the second, by multiplying the top and bottom by the reciprocal of the bottom fraction results in a fraction with the same value. Any number multiplied by its reciprocal results in 1; thus the bottom number is equivalent to 1 and any value divided by 1 is that value. So the original division is the same as the first fraction multiplied by the reciprocal of the second. The reciprocal of a number is the value that when multiplied by the number results in 1. The reciprocal of a fraction is obtained by inverting it, ie swapping over the top and bottom numbers; for example the reciprocal of 4/5 is 5/4 since: 4/5 × 5/4 = (4×5)/(5×4) = 20/20 = 1. Example 2/3 ÷ 4/5 2/3 ÷ 4/5 = (2/3)/(4/5) ← writing the divide as the dividend over the divisor = (2/3 × 5/4)/(4/5 × 5/4) ← creating an equivalent fraction by multiplying top and bottom by 5/4 = (2/3 × 5/4)/(20/20) ← multiplying out the denominator = (2/3 × 5/4)/1 ← simplifying the new denominator gives the new denominator the value 1 = 2/3 × 5/4 ← fraction has the value of the numerator. If you have mixed numbers, convert them to improper fractions and then the method (above) works as you now have one number over another.


How do you find the LCM of 2 numbers if one number is prime?

If the second number is a multiple of the prime number, than the LCM is the second number. If the second number is not a multiple of the prime number, then the two numbers are relatively prime, and the LCM is the product of the two numbers.

Related questions

How is dividing fractions similar to multiplying fractions?

It is similar because when you divide fractions you are technically multiplying the second number's reciprocal. (Turning the fraction the other way around)


What is 2.5 divided by 0.001?

2500


How are numbers squared?

squaring a number is taking it to the second power, initialy just multiplying it by its self.


Why do you take the reciprocal of the second fraction when dividing?

Because division by a number (the second fraction) is the same as multiplication by its reciprocal.


What is the sum if the second number is the reciprocal of the first?

+1/X


How does the reciprocal compare with the original number?

It actually doesnt because you flip the second fraction


What is the reciprocal of 25 feet per second?

0.25 no, 0.25 (or 1/4), is the reciprocal of 4. the reciprocal of 25 is 1/25


How do you divide 4 numbers?

Example: Here are your numbers. 9/8 7/3 1/4 1/5 first, divide 9/8 by 7/3 for dividing, you flip the reciprocal for the second fraction and multiply. then, you divide your 1/4 by 1/5 Flip the reciprocal for the second and multiply.


A modern personal computer is capable of multiplying two numbers in a few?

A modern personal computer is capable of multiplying two numbers in just a few nanoseconds. A nanosecond is a unit of time equal to one billionth of a second.


What is nine to the second power?

9 to the 2 power is 81 9x9=81 When you are calculating powers you are really multiplying the first number by itself the number of times the second number says. so for 9 to the 2 power you are multiplying 9 by itself 2 times


What is the 2nd multiple of 6?

The multiples of 6 are 6x1 6x2 6x3 . . . So the second one is 12 You can always find the multiples of a number by multiplying the number by the natural numbers 1, 2, 3, 4, 5, ..


Why does the way you divide fractions work?

When one number is divided by another it is the same as putting the first number over the second. If both the numbers are whole numbers, this creates a fraction. For example 4 ÷ 5 = 4/5 (four divided by five is the same as four fifths). But there is nothing from a mathematical point of view to prevent writing one fraction over another. Thus dividing fractions is the same as writing one fraction over another, which looks like a fraction. For example ½ ÷ ⅝ = (½)/(⅝) To create an equivalent fraction the top and bottom of a fraction are multiplied (or divided) by the same value. So having written a division of two fractions as the first over the second, by multiplying the top and bottom by the reciprocal of the bottom fraction results in a fraction with the same value. Any number multiplied by its reciprocal results in 1; thus the bottom number is equivalent to 1 and any value divided by 1 is that value. So the original division is the same as the first fraction multiplied by the reciprocal of the second. The reciprocal of a number is the value that when multiplied by the number results in 1. The reciprocal of a fraction is obtained by inverting it, ie swapping over the top and bottom numbers; for example the reciprocal of 4/5 is 5/4 since: 4/5 × 5/4 = (4×5)/(5×4) = 20/20 = 1. Example 2/3 ÷ 4/5 2/3 ÷ 4/5 = (2/3)/(4/5) ← writing the divide as the dividend over the divisor = (2/3 × 5/4)/(4/5 × 5/4) ← creating an equivalent fraction by multiplying top and bottom by 5/4 = (2/3 × 5/4)/(20/20) ← multiplying out the denominator = (2/3 × 5/4)/1 ← simplifying the new denominator gives the new denominator the value 1 = 2/3 × 5/4 ← fraction has the value of the numerator. If you have mixed numbers, convert them to improper fractions and then the method (above) works as you now have one number over another.