Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

convert each unit. enter your answers in the boxes. 3 quarts = \\boxed{…

Question

convert each unit. enter your answers in the boxes. 3 quarts = \boxed{} cups \frac{1}{4} gallons = \boxed{} quarts 7 cups = \boxed{} fluid ounces

Explanation:

Response
First Conversion: 3 quarts to cups

Step1: Recall the conversion factor

We know that 1 quart = 4 cups.

Step2: Multiply the number of quarts by the conversion factor

To convert 3 quarts to cups, we use the formula: Number of cups = Number of quarts × 4. So, \( 3\times4 = 12 \).

Second Conversion: \( 3\frac{1}{4} \) gallons to quarts

Step1: Recall the conversion factor

We know that 1 gallon = 4 quarts.

Step2: Convert the mixed number to an improper fraction (optional, but helpful)

\( 3\frac{1}{4}=\frac{3\times4 + 1}{4}=\frac{13}{4} \) gallons.

Step3: Multiply by the conversion factor

To convert gallons to quarts, we use the formula: Number of quarts = Number of gallons × 4. So, \( \frac{13}{4}\times4 = 13 \).

Third Conversion: 7 cups to fluid ounces

Step1: Recall the conversion factor

We know that 1 cup = 8 fluid ounces.

Step2: Multiply the number of cups by the conversion factor

To convert 7 cups to fluid ounces, we use the formula: Number of fluid ounces = Number of cups × 8. So, \( 7\times8 = 56 \).

Answer:

s:
3 quarts = 12 cups
\( 3\frac{1}{4} \) gallons = 13 quarts
7 cups = 56 fluid ounces