Answer:
8[tex]\frac{1}{7}[/tex] (in mixed fraction)
Step-by-step explanation:
4 ÷ [tex]\frac{5}{7}[/tex]
can also be written as
[tex]\frac{4}{1}[/tex] ÷ [tex]\frac{5}{7}[/tex]
[tex]\frac{4}{1}[/tex] ×[tex]\frac{7}{7}[/tex] [tex]\frac{5}{7}[/tex] × [tex]\frac{1}{1}[/tex] (to do the denominators same)
[tex]\frac{28}{7}[/tex] ÷ [tex]\frac{5}{7}[/tex]
= [tex]\frac{28/5}{7}[/tex]
= [tex]\frac{5.6}{7}[/tex]
= [tex]\frac{5.6}{7}[/tex] × [tex]\frac{10}{10}[/tex] (to remove the decimal point)
= [tex]\frac{56}{7}[/tex]
= 8[tex]\frac{1}{7}[/tex] (in mixed fraction)