Math Snap

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 $4$.
$$20 \mathrm{ft} \times 4 = 80 \mathrm{ft}$$

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:
$$\boxed{26 \mathrm{yd} 2 \mathrm{fl}}$$