Which of the following is the correct conversion of 2 3/4 yards into inches?
A.
33 inches
B.
11 inches
C.
75 inches
D.
99 inches
To convert 2 3/4 yards into inches, follow these steps:
Step 1: Convert yards to inches
There are 36 inches in 1 yard.
Step 2: Convert the mixed number to an improper fraction
2 3/4 yards can be converted to an improper fraction:234=84+34=1142 \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4}243=48+43=411
Step 3: Multiply by the number of inches per yard
Multiply the improper fraction by 36 inches (the number of inches in one yard):114×36=11×364=3964=99\frac{11}{4} \times 36 = \frac{11 \times 36}{4} = \frac{396}{4} = 99411×36=411×36=4396=99
Final Answer:
D. 99 inches
So, 2 3/4 yards is equal to 99 inches.