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

Question

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.