Question
Carmen skated x kilometers. Zoe skated
3
1
more than Carmen. We can use the equation y=
3
4
x to represent Zoe's distance. Write
3
4
in decimal form.
You can use long division to write
3
4
as a decimal. Start by dividing 4 ones by 3. Then, multiply to show how many ones you shared. Finally, subtract to show how many ones you have left.
0
3 4
3
1
more than Carmen. We can use the equation y=
3
4
x to represent Zoe's distance. Write
3
4
in decimal form.
You can use long division to write
3
4
as a decimal. Start by dividing 4 ones by 3. Then, multiply to show how many ones you shared. Finally, subtract to show how many ones you have left.
0
3 4
Answers
GPT-4o mini
To convert the fraction \(\frac{3}{4}\) into decimal form using long division, we can follow these steps:
1. Set up the long division:
- We are dividing 3 by 4. Since 3 is less than 4, we know the result will be less than 1. We can express it as \(0.\) with a decimal point.
2. To perform long division:
- Divide 3.000 (adding decimal places for division) by 4. We see how many times 4 goes into 30 (since we consider them as whole numbers).
3. Divide:
- 4 goes into 30 a total of 7 times (since \(4 \times 7 = 28\)).
4. Multiply:
- Now multiply: \(7 \times 4 = 28\).
5. Subtract:
- Subtract: \(30 - 28 = 2\).
6. Bring down the next digit (0):
- Now we have 20. How many times does 4 go into 20? It goes 5 times (since \(4 \times 5 = 20\)).
7. Multiply again:
- Multiply: \(5 \times 4 = 20\).
8. Subtract again:
- Subtract: \(20 - 20 = 0\).
At this point, there are no remaining digits to bring down, so we conclude our division.
Putting it all together, we have:
\[
\frac{3}{4} = 0.75
\]
Thus, \( \frac{3}{4} \) in decimal form is \( 0.75 \).
1. Set up the long division:
- We are dividing 3 by 4. Since 3 is less than 4, we know the result will be less than 1. We can express it as \(0.\) with a decimal point.
2. To perform long division:
- Divide 3.000 (adding decimal places for division) by 4. We see how many times 4 goes into 30 (since we consider them as whole numbers).
3. Divide:
- 4 goes into 30 a total of 7 times (since \(4 \times 7 = 28\)).
4. Multiply:
- Now multiply: \(7 \times 4 = 28\).
5. Subtract:
- Subtract: \(30 - 28 = 2\).
6. Bring down the next digit (0):
- Now we have 20. How many times does 4 go into 20? It goes 5 times (since \(4 \times 5 = 20\)).
7. Multiply again:
- Multiply: \(5 \times 4 = 20\).
8. Subtract again:
- Subtract: \(20 - 20 = 0\).
At this point, there are no remaining digits to bring down, so we conclude our division.
Putting it all together, we have:
\[
\frac{3}{4} = 0.75
\]
Thus, \( \frac{3}{4} \) in decimal form is \( 0.75 \).