Question

Please help and please make sure to simplify, thank you. Have a great day!

Answer 1

Answer: 1.
`(3)/(16)`, 2.
`(2)/(5)`, 3.
`(7)/(16)`, 4.
`(2)/(9)`, 5.
`(1)/(15)`, 6.
`(1)/(10)`

Explanation:

To multiply fractions is like multiplying integers, but with an extra step. You don't need to find the LCD (Least common denominator) like in addition or subtraction of fractions, you only need to multiply.

Basically, just multiply the top two numbers (the numerators) and multiply the bottom two numbers (the denominators), pair them as a fraction, and reduce it to simplest form.

Let's take the first example.
`(6)/(8)`·
`(3)/(12)`. The numerators are 6 & 3, and 6·3=18. The denominators are 8 & 12, and 8·12=96. Our new fraction is
`(18)/(96)`. To simplify the fraction, we need to find the GCF (Greatest common factor) of the numerator and denominator. The GCF of 18 and 96 is 6.
`(18)/(6)`=3 and
`(96)/(6)`=16. Therefore, our final answer is
`(3)/(16)`.

We can follow the same approach for the rest of the fractions.

Hope that helped a lot. Let me know any further questions.

:)