Carmen skated x kilometers. Zoe skated

Question

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

Answer 1

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 \( 0.75 \).