How to Multiply Fractions
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How to Multiply Fractions

How do you multiply a fraction? This is a common query that is not only asked by children but even adults as well. By definition, a fraction is a figure representing a portion of a whole number.

How do you multiply a fraction? This is a common query that is not

only asked by children but even adults as well. By definition, a

fraction is a figure representing a portion of a whole number. The

original fractions were ancient symbols that represented a part of

two, or a part of three, or a part of four and so forth. This later

evolved into fractions consisting of two numbers.

The first number in a fraction is the numerator, which indicates a

number of parts. The denominator is the second figure which represents

the number making up a whole. For instance, the fraction 1/2 indicates

that the numerator 1 makes up the part taken. Meanwhile the

denominator 2 indicates that 2 parts comprise the whole.

Fractions are used for purposes such as representation of ratios and

division. Going back to the example, 1/2 is used in representing the

ratio 1:2 (one is to two) and the division of one by two.

Multiplying Simple Numbers

Multiplying fractions is simple. The numbers are simply multiplied

across, or another way of putting it, is to multiply the numerator

with each other and the denominators with each other. For example, 1/2

x 3/5 is solved by multiplying the number 1 by the number 3, and 2 by

5. The answer would be 3/10.

Multiplying Multiple Fractions

In multiplying multiple fractions, the numerators are first multiplied

with each other, then followed by multiplying the denominators. The

result or product can then be reduced to its lowest terms.

Multiplying Large Numbers

Multiplying fractions is not always as simple as the said example.

There are times when multiplication of fractions involves larger and

more complex numbers. For instance, 20/25 x 5/20. A cursory glance at

the equation would indicate that the numbers can be further reduced to

the lowest terms, with the greatest common factor of 5 applying to all

the numbers.

Thus, reducing the numbers with 5 as the denominator would further

simplify the equation to 4/5 times 1/ 4. The equation can now be

solved using the multiplication rule. Thus, 4 x 1 and 5 x 4 would

result to 4/20, which can then be simplified by getting the greatest

common factor. In this case, the greatest common factor is 4, so 4/20

becomes or is reduced to1/5.

Multiplication With Whole Numbers

How do you multiply a fraction and a whole number? Multiplication of

whole numbers and fractions also uses the same rules in multiplying a

fraction with another fraction. This is due to the fact that whole

numbers can be easily changed into fractions.

For instance, the whole number 7 can be changed to 7/1 as a fraction,

and thus it will be easy to multiply it to another fraction. For

example, when 7 is multiplied by 2/3, the whole number 7 is first

changed into a fraction 7/1, and then multiplied with 2/3. So

following the multiplicaton process, the numerators are multiplied

with each other such as, 7 times 2 is equal to 14. Then the

denominators are multiplied, 1 times 3 is equal to 3, and the product

is 14/3.

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Comments (1)

While I know how to compute fractions, I like your ability to explain mathematics using article format. Well done!