How to mutiply fractions?

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steveschoen's profile pic

steveschoen | College Teacher | (Level 1) Associate Educator

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If you have mixed numbers, like 3  1/2 x 4  1/3, then you have to make those improper fractions first, then multiply straight across.  Such as:

3  1/2 x 4  1/3 = 7/2 * 13/3 = (7*13)/(2*3) = 91/6.  If your teacher requires mixed numbers for the answer, then you do that division:

91 `-:` 6 = 15 r1 = 15  1/6

lemjay's profile pic

lemjay | High School Teacher | (Level 3) Senior Educator

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For example:

`3/5xx2/27`

To multiply fractions, multiply the top numbers (numerators). Also, multiply the bottom numbers (denominators).

`=(3xx2)/(5xx27)`

Before multiplying them, cancel common factors between numerators and denominators. Since the numerator 3 and denominator 27 are multiples of 3, then cancel the factor 3.

`= (1xx2)/(5xx9)`

Now that the common factors are cancelled, proceed to multiply. And the resulting product is already in simplified form.

`=2/45`

Hence, `3/5xx2/27 =2/45` .

malkaam's profile pic

malkaam | Student, Undergraduate | (Level 1) Valedictorian

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To multiply fractions you can either cross multiply them and then multiply the remaining numbers in the same way or you can multiply the numerators with one another and the denominators with one another and then cancel out, either way the answer will be the same. For example, multiply 9/5 and 10/27.

`9/5 * 10/27` 

cross multiply 5 with 10 and 9 with 27

`1/1 * 2/3`

`(1*2)/(1*3)`

`2/3 or 0.67` 

Now take into account the second method,

`9/5*10/27`

`(9*10)/(5*27)`

`90/135`

`2/3 or 0.67`

` `

givingiswinning's profile pic

givingiswinning | Student, Grade 10 | (Level 1) Valedictorian

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Multiply the numerators together to get the numerators and multiply the denominators together, just straight across.

zumba96's profile pic

zumba96 | Student, Grade 11 | (Level 3) Valedictorian

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To multiply fractions you don't need to have the same denominators but you can simplify

Just multiply straight across

3/5 x 2/3

3 x 2 / 5 x 3 

6/15

You can divide this by 3

2/5

That's how you multiply 

Multiply straight across the numerator and straight across the denominator 

jess1999's profile pic

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

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To multiply fractions you just have to multiply the numerators together to get the numerators and multiply the denominators together to get the denominator

For example ,

 3/6 X 2/3 = 6/18

since 3 and 2 are the numerators, you will have to multiply those two

since 3 and 6 are the denominators, you will have to multiply those two.

xelina's profile pic

xelina | Student, Grade 12 | (Level 1) Honors

Posted on

you can multiply fractions in this manner ;

              w/x*y/z = w*y/x*z

first multiply the numerators then multiply the denominators . And later divide the answers .

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