A tailor has a bolt of fabric that is 20\frac{1}{4} yards long. He cuts 5\frac{3}{4} yards… — Armed Services Vocational Aptitude Battery (ASVAB)

A tailor has a bolt of fabric that is $20\frac{1}{4}$ yards long. He cuts $5\frac{3}{4}$ yards of fabric to make a suit jacket and another $3\frac{5}{8}$ yards to make a pair of trousers. How many yards of fabric are remaining on the bolt?

$10\frac{7}{8}$ Cevap
B
$11\frac{7}{12}$
C
$18\frac{1}{8}$
D
$11\frac{1}{8}$

Cevap

10\frac{7}{8}

The correct answer is found by first calculating the total fabric used (

5\frac{3}{4} + 3\frac{5}{8} = 9\frac{3}{8}

yards). Subtracting this from the original

20\frac{1}{4}

yards requires converting to a common denominator (

20\frac{2}{8} - 9\frac{3}{8}

) and then borrowing from the whole number (

19\frac{10}{8} - 9\frac{3}{8}

) to get exactly

10\frac{7}{8}

yards.

Adım Adım Çözüm

Find the total amount of fabric used by adding

5\frac{3}{4}

and

3\frac{5}{8}

5\frac{3}{4} + 3\frac{5}{8} = 5\frac{6}{8} + 3\frac{5}{8} = 8\frac{11}{8} = 9\frac{3}{8}

yards.

Before finding the remaining amount, the total amount removed from the bolt must be calculated by finding a common denominator.

Subtract the total used fabric from the original length of the bolt.

20\frac{1}{4} - 9\frac{3}{8} = 20\frac{2}{8} - 9\frac{3}{8}

Subtracting the used amount from the initial amount determines how much fabric is left.

Borrow from the whole number to complete the subtraction.

19\frac{10}{8} - 9\frac{3}{8} = 10\frac{7}{8}

yards.

Since

2

is less than

3

in the numerators,

1

whole (

8/8

) must be borrowed from

20

to make the subtraction possible.

Anahtar Kavram

Adding and subtracting mixed numbers with unlike denominators, including borrowing.

Soru

Cevap

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Anahtar Kavram

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