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.
Divide 10 hundredths by 3. Then multiply and subtract to show how many hundredths you have left to share.
1 .3
3

3 4 .0 0
3
1 .0
.9
.1 0
.

.

Answer 1

To write \(\frac{3}{4}\) in decimal form, you would divide 3 by 4:

\[ 3 \div 4 = 0.75 \]

So, \(\frac{3}{4} = 0.75\).

Now, let's divide 10 hundredths by 3:

10 hundredths (which is 0.10 in decimal form) divided by 3 can be calculated as follows:

\[ \frac{10}{3} = 3.3333... \quad (\text{this is a repeating decimal}) \]

However, let's convert this into hundredths:

1. The whole number part is 3 hundredths, which equals 0.03 (as 3 in hundredths).
2. This means we have used 9 hundredths (3 x 3 = 9).

Now, we subtract this from 10 hundredths:

\[ 10 - 9 = 1 \]

Thus, after dividing 10 hundredths by 3, you have 1 hundredth left to share.

To summarize:

1. \(\frac{3}{4} = 0.75\)
2. Dividing 10 hundredths by 3 yields 3 hundredths each, leaving you with 1 hundredth remaining.