Math / Numbers & Operations

QuestionPerform the indicated operation. Simplify the result if possible. $6 \mathrm{yd} 2 \mathrm{fl} \times 4$

Studdy Solution

STEP 1

1. The expression $6 \mathrm{yd} 2 \mathrm{fl}$ represents a mixed measurement of yards and feet.
2. The operation involves multiplying this mixed measurement by $4$ .
3. There are $3$ feet in $1$ yard.

STEP 2

1. Convert the mixed measurement to a single unit.
2. Perform the multiplication.
3. Convert the result back to a mixed measurement, if necessary.

STEP 3

Convert $6 \mathrm{yd} 2 \mathrm{fl}$ entirely into feet.
First, convert yards to feet: $6 \mathrm{yd} \times 3 \frac{\mathrm{ft}}{\mathrm{yd}} = 18 \mathrm{ft}$
Add the additional feet: $18 \mathrm{ft} + 2 \mathrm{ft} = 20 \mathrm{ft}$

STEP 4

Multiply the total feet by $4$ .
$20 \mathrm{ft} \times 4 = 80 \mathrm{ft}$

STEP 5

Convert $80 \mathrm{ft}$ back to yards and feet.
Divide the total feet by $3$ to find the number of yards: $80 \div 3 = 26 \text{ yards with a remainder of } 2 \text{ feet}$
Thus, $80 \mathrm{ft}$ is equivalent to $26 \mathrm{yd} 2 \mathrm{fl}$ .
The simplified result of the operation is:
$\boxed{26 \mathrm{yd} 2 \mathrm{fl}}$

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