Questions: How many cups are in 6 3/4 gallons? cups

Transcript text: How many cups are in $6 \frac{3}{4}$ gallons? $\square$ cups

Solution

Solution Steps

To convert gallons to cups, we need to know the conversion factor between these two units. There are 16 cups in a gallon. Therefore, to find the number of cups in $6 \frac{3}{4}$ gallons, we multiply the total number of gallons by 16.

Step 1: Convert Mixed Number to Decimal

The given quantity is $6 \frac{3}{4}$ gallons. First, convert the mixed number to a decimal: \[ 6 \frac{3}{4} = 6 + \frac{3}{4} = 6.75 \]

Step 2: Use Conversion Factor

To convert gallons to cups, use the conversion factor that 1 gallon equals 16 cups. Therefore, multiply the number of gallons by 16: \[ \text{cups} = 6.75 \times 16 \]

Step 3: Calculate the Number of Cups

Perform the multiplication to find the number of cups: \[ \text{cups} = 108.0 \]