Respuesta :

Answer:

[tex]5 \frac{1}{16}[/tex] is the answer.

Step-by-step explanation:

Given:

[tex]2 \frac{1}{4} \times 2 \frac{1}{4}[/tex]

Step 1: Converting the mixed fraction into  fraction:

Multiply  4 by 2 add  1 to the result.

[tex]2\frac{1}{4}[/tex]  =  [tex]\frac{4 \times 2+1}{4}[/tex]

=[tex]\frac{8+1}{4}[/tex]

=[tex]\frac{9}{4}[/tex]

Step 2: Performing the multiplication using the fraction

= >[tex]\frac{9}{4} \times \frac{9}{4}[/tex]

=> [tex]\frac{81}{16}[/tex]

Step 3: Converting the product back to  mixed fraction

divide 81 by 16 and find the remainder

=>[tex]quotient \frac{remainder}{divisor}[/tex]

Dividing 81 by 16 we get  5 as quotient and 1 as remainder

Thus the result in  mixed fraction will be

=> [tex]5 \frac{1}{16}[/tex]