Drag the tiles to the correct boxes to complete the pairs.Match each division problem to its quotient.

Answer:Part 1) [tex]-1.25[/tex] -------> [tex]2.75/(-2.2)[/tex]Part 2) [tex]-4\frac{1}{3}[/tex] --------> [tex](-2\frac{3}{5}) / (\frac{3}{5})[/tex]Part 3) [tex]\frac{2}{3}[/tex] ------> [tex](-\frac{10}{17}) / (-\frac{15}{17})[/tex]Part 4) [tex]3[/tex] ------> [tex](2\frac{1}{4}) / (\frac{3}{4})[/tex]Step-by-step explanation:Part 1) we have[tex]2.75/(-2.2)[/tex]To calculate the division problem convert the decimal number to fraction number[tex]2.75=275/100\\ -2.2=-22/10[/tex]      so[tex](275/100)/(-22/10)[/tex]Remember thatSince division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction[tex](275/100)/(-22/10)=(275/100)*(-10/22)=-(275*10)/(22*100)=-(275)/(220)[/tex]SimplifyDivide by 22 both numerator and denominator[tex]-(275)/(220)=-125/100=-1.25[/tex]Part 2) we have[tex](-2\frac{3}{5}) / (\frac{3}{5})[/tex]To calculate the division problem convert the mixed number to an improper fraction  [tex](-2\frac{3}{5})=-\frac{2*5+3}{5}=-\frac{13}{5}[/tex]so[tex](-\frac{13}{5}) / (\frac{3}{5})[/tex]Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction[tex](-\frac{13}{5}) / (\frac{3}{5})=(-\frac{13}{5})*(\frac{5}{3})=-\frac{13*5}{5*3}=-\frac{13}{3}[/tex]Convert to mixed number[tex]-\frac{13}{3}=-(\frac{12}{3}+\frac{1}{3})=-4\frac{1}{3}[/tex]Part 3) we have[tex](-\frac{10}{17}) / (-\frac{15}{17})[/tex]Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction[tex](-\frac{10}{17}) / (-\frac{15}{17})=(-\frac{10}{17})*(-\frac{17}{15})=\frac{10*17}{17*15}=\frac{10}{15}[/tex]SimplifyDivide by 5 both numerator and denominator[tex]\frac{10}{15}=\frac{2}{3}[/tex]Part 4) we have[tex](2\frac{1}{4}) / (\frac{3}{4})[/tex]To calculate the division problem convert the mixed number to an improper fraction  [tex](2\frac{1}{4})=\frac{2*4+1}{4}=\frac{9}{4}[/tex]so[tex](\frac{9}{4}) / (\frac{3}{4})[/tex]Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction[tex](\frac{9}{4}) / (\frac{3}{4})=(\frac{9}{4})*(\frac{4}{3})=\frac{9*4}{4*3}=\frac{9}{3}=3[/tex]