Read the scenario and determine the total number of pieces that can be cut. Enter your num… — Armed Services Vocational Aptitude Battery (ASVAB)

Read the scenario and determine the total number of pieces that can be cut. Enter your numerical answer in the blank.

Cevap:A quartermaster has a

50

-yard spool of parachute cord. They need to cut the entire spool into smaller pieces that are each

1 \frac{2}{3}

yards long. They will be able to cut a total of 【30】 pieces.

To find how many smaller pieces can be cut from a larger total, you must divide the total length (

50

yards) by the length of each individual piece (

1 \frac{2}{3}

yards). First, convert

1 \frac{2}{3}

to the improper fraction

\frac{5}{3}

. The problem then becomes

50 \div \frac{5}{3}

. To divide by a fraction, multiply by its reciprocal:

50 \times \frac{3}{5}

. Multiply

50

3

to get

150

, then divide by

5

to get

30

pieces.

Identify the total length of the cord and the length of each individual piece.

The total length is

50

yards, and the length of each piece is

1 \frac{2}{3}

yards.

These values are required to set up the division expression.

Convert the mixed number to an improper fraction.

1 \frac{2}{3} = \frac{1 \times 3 + 2}{3} = \frac{5}{3}

Fraction division is performed using improper fractions rather than mixed numbers.

Set up the division problem by dividing the total length by the length of one piece.

50 \div \frac{5}{3}

Dividing the total quantity by the size of each individual part gives the total number of parts.

Multiply the total length by the reciprocal of the fraction.

50 \times \frac{3}{5} = \frac{150}{5} = 30

To divide by a fraction, you multiply by its reciprocal.

Fraction Division in Context

Soru