A length of string is 42 1/2 inches long.
A teacher needs to make 8 equal
length pieces from the string. How
long should she make each piece?

A- 5 5/16 inches

B- 8 1/2 inches

C- 21 1/4 inches

D- 34 1/2 inches

  5 5/16 inches

Step-by-step explanation:

3 ways to get this.

1. Estimate. You know that 8 × 5 is 40, and 40 is close to 42.  40 ÷ 8 is  5

There is only one answer close to that so choose A.

2. Calculate. Change the numbers to a decimal and divide:  42.5 ÷ 8 = 5.3125

3 . Fraction multiplication and division: Make 42 1/2 into an "improper fraction"

and multiply.   85/2 × 1/8 = 85/16   Divide  "old style" long division to get a remainder.  85 ÷ 16 = 5, remainder 5.  Put the remainder 5 over the divisor 16 to end up with 5 5/16

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation: