Respuesta :

Answer:

B) 3 1/16

Step-by-step explanation:

Given equation is

7 9/16 - 4 2/4

=> 121/16 - 18/4

=> 121/16 - (18*4)/4*4

=> 121/16 - 72/16

=> (121-72)/16

=> 49/16

=> 3 1/16

For this case we must subtract the following mixed numbers:

[tex]7 \frac {9} {16} - 4 \frac {2} {4}[/tex]

So:

[tex]7 \frac {9} {16} = \frac {16 * 7 + 9} {16} = \frac {121} {16}\\4 \frac {2} {4} = \frac {4 * 4 + 2} {4} = \frac {18} {4} = \frac {9} {2}[/tex]

We subtract:

[tex]\frac {121} {16} - \frac {9} {2} = \frac {242-144} {32} = \frac {98} {32} = \frac {49} {16}[/tex]

We convert to a mixed number, we have:

[tex]3 \frac {1} {16}[/tex]

Answer:

[tex]3 \frac {1} {16}[/tex]

Option B