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: $$63÷8=7\text{(whole number)}\text{with a remainder of }7$$

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: $$\boxed{{\displaystyle 7\frac{7}{8}}}$$

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: $$63÷8=7\text{(whole number)},\text{ with a remainder of }7$$ Thus: $$\frac{63}{8}=7\frac{7}{8}$$

Thus, the distance Lacy runs on Saturday is indeed:

$$\boxed{{\displaystyle 7\frac{7}{8}}}\text{ km}$$

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.