Question

What is −214⋅(−213) ? −514 −4112 4112 514

Answer 1

`\left(-2(1)/(4)\right)*\left(-2(1)/(3)\right)=(-1)(-1)\left((9)/(4)\cdot(7)/(3)\right)\\\\=(3\cdot 3\cdot 7)/(3\cdot 4)=(21)/(4)\\\\=5(1)/(4)`

Answer 2

`5(1)/(4)}`

Explanation:

`-2(1)/(4) \cdot -2 (1)/(3)`

Convert mixed fraction into improper fraction

`-2(1)/(4)=-(9)/(4)`

`-2(1)/(3)=-(7)/(3)`

`-(9)/(4) \cdot -(7)/(3)}`

Simplify the fraction. cancel out 9 and 3

`-(3)/(4) \cdot -(7)/(1)}`

Now multiply numerator with numerator and denominator with denominator. negative times negative becomes positive.

`(21)/(4)}`

`5(1)/(4)}`