Answer:
[tex]\displaystyle3\frac{3}{4}[/tex]
Step-by-step explanation:
Hi there!
[tex]4\displaystyle\frac{11}{16} \div1\frac{1}{4}[/tex]
Change mixed numbers to improper fractions:
[tex]= \displaystyle\frac{75}{16} \div\frac{5}{4}[/tex]
Dividing by a fraction is the same as multiplying by its reciprocal:
[tex]= \displaystyle\frac{75}{16} *\frac{4}{5}[/tex]
Reduce:
[tex]= \displaystyle\frac{75}{4} *\frac{1}{5}[/tex]
[tex]= \displaystyle\frac{15}{4} *\frac{1}{1}[/tex]
[tex]= \displaystyle\frac{15}{4}[/tex]
Change improper fraction into mixed number:
[tex]= \displaystyle3\frac{3}{4}[/tex]
I hope this helps!
