Write 3 multiplication statements that have the same product as (-4/9)(7/5).

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lemjay's profile pic

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

Posted on

The product of the two given fractions is:

`-4/9 xx 7/5 = -28/45`

To compose multiplication statements that would result to the same product, we may consider the prime factorization of the numbers present in our product.

`28 = 2xx2xx7`

`45=3xx3xx5`

Hence, some of the multiplication statements that would have the same product as above are:

(1) `-2/3xx2/3xx7/5=-28/45`

(2) `-2/3xx14/15=-28/45`

(3) `-14/3xx2/15=-28/45`

rachellopez's profile pic

rachellopez | Student, Grade 12 | (Level 1) Valedictorian

Posted on

To solve (-4/9)(7/5) you can multiply straight across (multiply the numerators and then the denominators), and you get (-28/45).

To help you choose your numerators, you need to find 2 or more numbers that multiply to make 28. Examples would be 4 and 7, 2 and 14, and 1 and 28.

You need to do the same for the denominators. Numbers that multiply to make 45 include 5 and 9, and 3 and 15.

Since multiplying fractions is simply multiplying the numbers in the top over the numbers is the bottom, you can make fractions with a combination of these numbers listed above. However, make sure you make one fraction negative.

(-4/5)*(7/9)=(-28/45)

(-2/3)*(14/15)=(-28/45)

(4/15)*(-7/3)=(-28/45)

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