Question

Lacy runs 5 1/4km on Thursday. She runs 1 1/2 times as far on Saturday.



How far does Lacy run on Saturday?

Express your answer as a mixed number in the simplest form.

Enter your answer in the box.

Answer 1

To find out how far Lacy runs on Saturday, we first need to calculate how far she runs on Thursday, which is given as 5 1/4 km.

Let's convert 5 1/4 km into an improper fraction:

\[
5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{20 + 1}{4} = \frac{21}{4} \text{ km}
\]

Now, we need to calculate 1 1/2 times this distance for Saturday:

First, we express 1 1/2 as an improper fraction:
\[
1 \frac{1}{2} = \frac{1 \times 2 + 1}{2} = \frac{2 + 1}{2} = \frac{3}{2}
\]

Now, multiply the distance Lacy ran on Thursday by 1 1/2:
\[
\text{Distance on Saturday} = \frac{3}{2} \times \frac{21}{4}
\]

To multiply these fractions, multiply the numerators and the denominators:
\[
\text{Distance on Saturday} = \frac{3 \times 21}{2 \times 4} = \frac{63}{8} \text{ km}
\]

Next, we convert \(\frac{63}{8}\) into a mixed number. We divide 63 by 8:
\[
63 \div 8 = 7 \quad \text{(whole number)} \quad \text{with a remainder of } 7
\]

Thus, we write this as:
\[
\frac{63}{8} = 7 \frac{7}{8}
\]

Hence, Lacy runs \(7 \frac{7}{8}\) km on Saturday.

The final answer is:
\[
\boxed{7 \frac{7}{8}}
\]

Answer 2

whats the actual answer

Answer 3

Let's go through the calculations step by step again to ensure clarity and accuracy.

1. **Distance Lacy runs on Thursday:**
Lacy runs \(5 \frac{1}{4}\) km.
Converting to an improper fraction:
\[
5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{20 + 1}{4} = \frac{21}{4} \text{ km}
\]

2. **Saturday's run as 1 1/2 times Thursday's run:**
We need to compute \(1 \frac{1}{2}\) times \(5 \frac{1}{4}\).
First, convert \(1 \frac{1}{2}\) into an improper fraction:
\[
1 \frac{1}{2} = \frac{1 \times 2 + 1}{2} = \frac{2 + 1}{2} = \frac{3}{2}
\]

3. **Multiply the distances:**
\[
\text{Distance on Saturday} = \frac{3}{2} \times \frac{21}{4}
\]
Performing the multiplication:
\[
\frac{3 \times 21}{2 \times 4} = \frac{63}{8} \text{ km}
\]

4. **Convert \(\frac{63}{8}\) to a mixed number:**
Dividing 63 by 8:
\[
63 \div 8 = 7 \quad \text{(whole number)}, \text{ with a remainder of } 7
\]
Thus:
\[
\frac{63}{8} = 7 \frac{7}{8}
\]

Thus, the distance Lacy runs on Saturday is indeed:

\[
\boxed{7 \frac{7}{8}} \text{ km}
\]

If you have specific questions or need further details, feel free to ask!

Answer 4

write the actual answer please

Answer 5

Lacy runs **7 7/8 km** on Saturday.