Subtract. Jim needs 3 1/2` yards of burlap to cover his bulletin board. His brother gives him 1 1/6 yards. How much more does Jim need to purchase?
A. 2 1/4 yd
B. 2 1/3 yd
C. 3 yd
D .3 1/3 yd

Respuesta :

Answer:

2 1/3 yds

Step-by-step explanation:

We need to subtract 1 1/6 yds from 3 1/2 yds to answer this question.

The LCD is 6:

3 1/2 - 1 1/6 becomes 3 3/6 - 1 1/6.  This results in 2 2/6, or 2 1/3, yds

Jim must purchase 2 1/3 yds more of burlap.

For this case we must subtract the amounts to know how many yards of burlap Jim should buy:

[tex]3 \frac {1} {2} = \frac {6 + 1} {2} = \frac {7} {2}\\1 \frac {1} {6} = \frac {6 + 1} {6} = \frac {7} {6}[/tex]

We subtract the amounts:

[tex]\frac {7} {2} - \frac {7} {6} = \frac {42-14} {12} = \frac {28} {12} = \frac {14} {6} = \frac { 7} {3}[/tex]

We convert to a mixed number:

[tex]2 \frac {1} {3}[/tex]

ANswer:

Option B