Respuesta :

Answer:

We conclude that:

[tex]20\times \:3\frac{1}{5}=64[/tex]

Step-by-step explanation:

Given the expression

[tex]20\:\times 3\frac{1}{5}[/tex]

convert mixed number to improper fraction: [tex]a\frac{b}{c}=\frac{a\times c+b}{c}[/tex]

i.e. [tex]3\frac{1}{5}=\frac{3\times 5+1}{5}=\frac{16}{5}[/tex]

so the expression becomes

[tex]20\:\times 3\frac{1}{5}\:=20\times \:\frac{16}{5}[/tex]

Factor the number: 20 = 5×4

              [tex]=5\times \:4\times \frac{16}{5}[/tex]

Cross-cancel common factor: 5

               [tex]=4\times \:16[/tex]    

Multiply the numbers: 4×16 = 64

               [tex]=64[/tex]

Therefore, we conclude that:

[tex]20\times \:3\frac{1}{5}=64[/tex]