Question

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

Answer 1

Answer:

$5\frac{1}{4}}$

Step-by-step explanation:

$-2\frac{1}{4} \cdot -2 \frac{1}{3}$

Convert mixed fraction into improper fraction

$-2\frac{1}{4}=-\frac{9}{4}$

$-2\frac{1}{3}=-\frac{7}{3}$

$-\frac{9}{4} \cdot -\frac{7}{3}}$

Simplify the fraction. cancel out 9 and 3

$-\frac{3}{4} \cdot -\frac{7}{1}}$

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

$\frac{21}{4}}$

$5\frac{1}{4}}$

Answer 2

$\left(-2\frac{1}{4}\right)\times\left(-2\frac{1}{3}\right)=(-1)(-1)\left(\dfrac{9}{4}\cdot\dfrac{7}{3}\right)\\\\=\dfrac{3\cdot 3\cdot 7}{3\cdot 4}=\dfrac{21}{4}\\\\=5\frac{1}{4}$