Respuesta :

[tex]\frac{8}{3}[/tex] times [tex]\frac{3}{8}[/tex] equals 1

Solution:

Given expression is at what times [tex]\frac{3}{8}[/tex] equals the whole.

Whole means 1 in a fraction.

Let us take the number of times be x.

[tex]x\times\frac{3}{8} =1[/tex]

Multiply by [tex]\frac{8}{3}[/tex] on both sides of the equation.

[tex]x\times\frac{3}{8}\times\frac{8}{3} =1\times\frac{8}{3}[/tex]

[tex]x\times\frac{24}{24} =1\times\frac{8}{3}[/tex]

[tex]x\times\frac{24}{24} =\frac{8}{3}[/tex]

[tex]x\times1 =\frac{8}{3}[/tex]

[tex]x =\frac{8}{3}[/tex]

Hence the fraction [tex]\frac{8}{3}[/tex] times [tex]\frac{3}{8}[/tex] equals 1.