Given:
[tex]4\cdot5\frac{3}{8}[/tex]
A mixed number is formed by a whole number and a fraction.
In this case, the given number is 5 3/8, the first part of the number is the whole number, and the second part is the fraction
So, for the given mixed number "5" is the whole number and "3/8" (three-eighths) is the fraction.
To solve the multiplication you can break down the number and multiply each part by 4:
[tex]\begin{gathered} 4\cdot5\frac{3}{8} \\ \\ \end{gathered}[/tex]
Multiply the whole number by 4:
[tex]\to4\cdot5=20[/tex]
Multiply the fraction by 4:
[tex]\to4\cdot\frac{3}{8}=\frac{4}{1}\cdot\frac{3}{8}=\frac{4\cdot3}{1\cdot8}=\frac{12}{8}[/tex]
Both "12" and "8" are multiples of 4, you can divide the numerator and denominator of the fraction by 4 to simplify the result:
[tex]\frac{12\div4}{8\div4}=\frac{3}{2}[/tex]
Once you solved both multiplications you have to add the products 20 and 3/2.
[tex]20+\frac{3}{2}=20\frac{3}{2}[/tex]
The result of the multiplication is then:
[tex]4\cdot5\frac{3}{8}=20\frac{3}{2}[/tex]
