Question

3 2 — · — = _____ 8 5 2 9· — = _____ 3 7 8 — · — = _____ 8 7 x — · y = _____ y a b —— · — = _____ 2b c m n2 —- · —— = _____ 3n mGive the product in simplest form: 1 2 · 2— = _____ 2Give the product in simplest form: 1 2 — · 3 = _____ 4 Give the product in simplest form: 1 1 1— · 1— = _____ 2 2 Give the product in simplest form: 1 2 3— · 2— = _____ 4 3

Answer 1

Given:

`(3)/(8)\cdot(2)/(5)`

Required:

We need to multiply the given rational numbers.

Step-by-step explanation:

Cancel out the common terms.

`(3)/(8)\cdot(2)/(5)=(3)/(4)\cdot(1)/(5)`
`Use\text{ }(a)/(b)\cdot(c)/(d)=(a\cdot c)/(b\cdot d).`
`(3)/(8)\cdot(2)/(5)=(3)/(20)`

Consider the number.

`(7)/(8)\cdot(8)/(7)=(1)/(1)\cdot(1)/(1)`

Cancel out the common multiples

`9\cdot(2)/(3)`
`9\cdot(2)/(3)=3\cdot2=6`

Consider the number

`(7)/(8)\cdot(8)/(7)`

Cancel out the common multiples.

`(7)/(8)\cdot(8)/(7)=(1)/(1)\cdot(1)/(1)`
`(7)/(8)\cdot(8)/(7)=1`

Consider the number

`(x)/(y)\cdot y=x`
`(a)/(2b)\cdot(b)/(c)=(a)/(2)\cdot(1)/(c)=(a)/(2c)`
`(m)/(3n)\cdot(n^2)/(m)=(1)/(3)\cdot(n)/(m)=(n)/(3m)`

Final answer:

`(3)/(8)\cdot(2)/(5)=(3)/(20)`
`9\cdot(2)/(3)=6`
`(7)/(8)\cdot(8)/(7)=1`
`(x)/(y)\cdot y=x`

`(a)/(2b)\cdot(b)/(c)=(a)/(2c)`
`(m)/(3n)\cdot(n^2)/(m)=(n)/(3m)`