Question

How many strips, each 1/3 of a yard in length, can be cut from a piece of fabric that is 5/6 of a yard long?

A: 2 1/2
B: 2/5
C: 1 2/3
D: 5

Answer 1

2 1/2 strips each 1/3 yard in length can be cut from a 5/6 yard long piece of fabric by dividing the total length by the length of one strip and simplifying the resulting fraction.

Step-by-step explanation:

To find out how many strips, each measuring 1/3 of a yard, can be cut from a piece of fabric that is 5/6 of a yard long, we will divide the total length of the fabric by the length of one strip. Here is the step-by-step calculation:

1. Write down the length of the fabric, which is 5/6 yard.
2. Write down the length of one strip, which is 1/3 yard.
3. Divide the length of the fabric by the length of one strip: (5/6) ÷ (1/3).
4. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction: (5/6) * (3/1).
5. Multiply the numerators and denominators: (5 * 3) / (6 * 1) = 15/6.
6. Simplify the fraction if possible. Since 15 and 6 share a common factor of 3, divide both by 3 giving a result of 5/2, which is equivalent to 2 1/2.

Thus, 2 1/2 strips each measuring 1/3 yard in length can be cut from a piece of fabric that is 5/6 yard long.