Question

Use long division to convert 2 7/16 to a decimal
A 2.716
B 0.4375
C 2.2857
D 2.4375

Answer 1

To convert 2 7/16 to a decimal using long division, follow these steps:

Step 1: Rewrite the mixed number as an improper fraction.
2 7/16 can be written as (2 * 16 + 7) / 16 = 39/16

Step 2: Perform long division.
Start by dividing 39 by 16: 39 ÷ 16 = 2

Multiply the quotient (2) by the divisor (16): 2 * 16 = 32
Subtract this result (32) from 39: 39 - 32 = 7

Bring down the next digit (0): 70

Divide 70 by 16: 70 ÷ 16 = 4

Multiply the new quotient (4) by the divisor (16): 4 * 16 = 64
Subtract this result (64) from 70: 70 - 64 = 6

Bring down the next digit (0): 60

Divide 60 by 16: 60 ÷ 16 = 3

Multiply the new quotient (3) by the divisor (16): 3 * 16 = 48
Subtract this result (48) from 60: 60 - 48 = 12

Bring down the next digit (0): 120

Divide 120 by 16: 120 ÷ 16 = 7

Multiply the new quotient (7) by the divisor (16): 7 * 16 = 112
Subtract this result (112) from 120: 120 - 112 = 8

Bring down the next digit (0): 80

Divide 80 by 16: 80 ÷ 16 = 5

Multiply the new quotient (5) by the divisor (16): 5 * 16 = 80
Subtract this result (80) from 80: 80 - 80 = 0

Step 3: Write the final quotient as a decimal.
The final quotient is 2.4375.

Therefore, the answer is D) 2.4375.