Question
A gas tank of a car holds 12 gallons and is 5/8 full, how much gas is in the tank, convert answer to mixed number in simplest form
Answers
GPT-4o mini
To find out how much gas is in the tank, we start by calculating \( \frac{5}{8} \) of 12 gallons.
First, multiply 12 by \( \frac{5}{8} \):
\[
12 \times \frac{5}{8} = \frac{12 \times 5}{8} = \frac{60}{8}
\]
Now, simplify \( \frac{60}{8} \):
\[
\frac{60 \div 4}{8 \div 4} = \frac{15}{2}
\]
Next, we convert \( \frac{15}{2} \) into a mixed number. Divide 15 by 2:
\[
15 \div 2 = 7 \quad \text{remainder } 1
\]
This means \( \frac{15}{2} \) can be expressed as:
\[
7 \frac{1}{2}
\]
Thus, the amount of gas in the tank is \( \boxed{7 \frac{1}{2}} \) gallons.
First, multiply 12 by \( \frac{5}{8} \):
\[
12 \times \frac{5}{8} = \frac{12 \times 5}{8} = \frac{60}{8}
\]
Now, simplify \( \frac{60}{8} \):
\[
\frac{60 \div 4}{8 \div 4} = \frac{15}{2}
\]
Next, we convert \( \frac{15}{2} \) into a mixed number. Divide 15 by 2:
\[
15 \div 2 = 7 \quad \text{remainder } 1
\]
This means \( \frac{15}{2} \) can be expressed as:
\[
7 \frac{1}{2}
\]
Thus, the amount of gas in the tank is \( \boxed{7 \frac{1}{2}} \) gallons.