Question

Write two division equations for each multiplication equation. 15⋅25=6 15 ⋅ 2 5 = 6 6⋅43=8 6 ⋅ 4 3 = 8 16⋅78=14

Answer 1

`(a)`
`(30)/(5) = 6` and
`(60)/(10) = 6`

`(b)`
`(24)/(3) = 8` and
`(96)/(12) = 8`

`(c)`
`(112)/(8) = 14` and
`(28)/(2) = 14`

Explanation:

Given

`(a)\ 15 * (2)/(5) = 6`

`(b)\ 6 * (4)/(3) = 8`

`(c)\ 16 * (7)/(8) = 14`

Required

Write 2 division equations

`(a)\ 15 * (2)/(5) = 6`

Express 15 as 15/1

`(15)/(1) * (2)/(5) = 6`

Multiply numerator and denominator

`(30)/(5) = 6` --- This is (1)

Multiply the fraction by a common term (e.g. 2)

So, we have:

`(30*2)/(5*2) = 6`

`(60)/(10) = 6` ---- (2)

`(b)\ 6 * (4)/(3) = 8`

Express 6 as 6/1

`(6)/(1) * (4)/(3) = 8`

Multiply numerator and denominator

`(24)/(3) = 8` --- This is (1)

Multiply the fraction by a common term (e.g. 4)

So, we have:

`(24*4)/(3*4) = 8`

`(96)/(12) = 8` ---- (2)

`(c)\ 16 * (7)/(8) = 14`

Express 16 as 16/1

`(16)/(1) * (7)/(8) = 14`

Multiply

`(112)/(8) = 14` ---- This is (1)

Divide the fraction by a common term (e.g. 4)

`(112/4)/(8/4) = 14`

`(28)/(2) = 14`