Answer: [tex]-\frac{5}{12}[/tex]
Steps:
[tex]1\frac{1}{4}\times \left(-1\right)\frac{1}{3}[/tex]
Convert mixed numbers to improper fractions: [tex]1\frac{1}{4}[/tex][tex]=\frac{5}{4}[/tex]
[tex]=\frac{5}{4}\times \left(-1\right)\frac{1}{3}[/tex]
[tex]\mathrm{Apply\:the\:rule}:\quad \:a\left(-b\right)=-ab[/tex]
[tex]\frac{5}{4}\left(-1\right)=-\frac{5}{4}\times \:1[/tex]
[tex]=-\frac{5}{4}\times \:1\times \frac{1}{3}[/tex]
[tex]\mathrm{Apply\:rule}\:a\times 1=a[/tex]
[tex]=-\frac{5}{4}\times \frac{1}{3}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]\frac{5}{4}\times \frac{1}{3}=\frac{5\times \:1}{4\times \:3}[/tex]
[tex]=-\frac{5\times \:1}{4\times \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\times \:1=5[/tex]
[tex]=-\frac{5}{4\times \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\times \:3=12[/tex]
[tex]=-\frac{5}{12}[/tex]
Hope This Helps!
