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Division is the multiplication by the reciprocal or multiplicative inverse.

In simpler language, to divide by a fraction change the division sign to multiplication and flip the fraction.

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โˆ™ 2010-04-07 18:37:48
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Q: How is the multiplication of fractions and division of fractioms alike and different?
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Related questions

What is the difference between multiplication and division fractions?

In dividing fractions you have to change division to multiplication and change the second fraction into a recipracol(flip the fraction.

What are the rules for fractions?


Why change mixed numbers to improper fractions?

For addition, subtraction, division and multiplication with other fractions

How is multiplication and division of fractions alike and different?

Division by a fraction is the same as multiplication by its reciprocal. The reciprocal of a number x is 1 over x. So the reciprocal of 2/5, for example, is 5/2.

Why is there no common denominator when multiplying or dividing fractions?

Because it is not how multiplication or division are defined.

Why does multiplying a reciprocal work in division fractions?

Because multiplication and division are inverse operations. And the reciprocal of a number is its multiplicative inverse.

How is multiplying of fractions simialar to dividing of fractions?

In multiplication and division of fractions, both involve multiplication. This is their similarity. In multiplication of fractions, multiply the numerator by the numerator of the other fraction and the denominator by the denominator of the other fraction. Example: 1/2 * 2/3 = 2/6 In division of fractions, reciprocate the divisor then follow the step in multiplying fractions. Example: 1/2 ÷ 2/3 = 1/2 * 3/2 = 3/4

What should a 5th grader know in math?

you need to know decimals , fractions , division , and multiplication.

How do you solve mixed fractions?

It depends what type, such as multiplication, division, subtraction, or addition. Be more descriptive!

What kind of math do nurses need?

I'm actually doing my bachelor of nursing. the math that we are required to know is multiplication, division, converting metric units, comparing metric measurement, multiplication of decimals, simplifying fractions, rounding off decimal numbers, fractions to a decimal and multiplication of fractions. hope this helps

When dividing fractions do need a common denominator?

No. Common denominators are needed for addition and subtraction, not multiplication or division.

How is math used by a restaurant manager?

Typically, addition, subtraction, multiplication, division, fractions and percentages.

What is different between multiplication and division of vector by a number?

There is no real difference between the two operations. Division by a scalar (a number) is the same as multiplication by its reciprocal. Thus, division by 14 is the same as multiplication by (1/14).

How are decimals and fractions related to division?

Decimals and fractions are ways of representing numbers. Division is an arithmetic operation between two numbers (and the inverse of the multiplication operation). One form of writing the division operation looks like a fraction.

How is multiplication is related by division?

Multiplication is the inverse operation to division.

What is the relationship between multiplication and division?

Division is the inverse operation to multiplication (except by 0). Multiplication by a number is equivalent to division by its reciprocal.

When doing fractions why is it easier to multiply and divide fractions than add and substract fractions?

It is easier to multiply or divide fractions than to add or subtract fractions because in multiplication, you just have to multiply the numerator by the numerator and the denominator by the denominator. Same applies with division of fractions, except that you have to reciprocate the fraction you're dividing with (divisor) then proceed to multiplication. Whereas, in addition and subtraction of fractions, you still have to get their Least Common Denominator (LCD).

Does the inequality sign change when both sides are multipled or divided when using fractions Why or why not?

Not if the fraction is positive. But yes if the fraction is negative. Study the rules of multiplication and division by integers, and you wil see why. Multiplication by a fraction is simplty multiplication by one integer followed by division by another (or the other way round).

What are the different kinds of problems in math?

there are multiplication, subtraction, addition, and division!

How do you Relate Division to Multiplication?

Division is the inverse operation to multiplication. Division by a number (other than zero) is the same as multiplication by its reciprocal.

Is multiplication before division in order of operations?

"Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction." Therefore multiplication and division are equal.

What conclusions can you make about relation of division and multiplication?

Division is the inverse operation to multiplication.

How do you handle the four fundamental fractions?

I never heard about "four fundamental fractions". There is a concept of fundamental operations, which refers to addition, subtraction, multiplication and division, but I don't think that "fundamental fractions" has any commonly-accepted meaning in math.

How is addition and subtraction different from multiplication and division?

For the specific case of whole numbers, you can consider multiplication to be repeated addition; and division to be repeated subtraction (see how often you can subtract something).

How do you determine where to place the decimal in the answer?

The process is different for different operations: addition/subtraction, multiplication or division.