Answer:
10
Step-by-step explanation:
To find the quotient of an equation with fractions easily, use the SFM method:
S - Skip
F - Flip
M - Multiply
8 ÷ [tex]\frac{4}{5}[/tex] First, change the 8 into an equivalent fraction.
[tex]\frac{8}{1}[/tex] ÷ [tex]\frac{4}{5}[/tex] Skip your focus to the divisor. This is what will be changed.
[tex]\frac{8}{1}[/tex] ÷ [tex]\frac{4}{5}[/tex] Flip the numerator and denominator to show the reciprocal.
[tex]\frac{8}{1}[/tex] ÷ [tex]\frac{5}{4}[/tex] Multiply the fractions together instead of dividing.
[tex]\frac{8}{1}[/tex] × [tex]\frac{5}{4}[/tex]
[tex]\frac{40}{4}[/tex] Finally, simplify the fraction into its simplest form.
10
8 ÷ [tex]\frac{4}{5}[/tex] = 10
