1. Which of the following is equivalent to 8 2/5?

a.42/5
b.34/5
c.39/5
d.24/5

2. Which of the following fractions is between 3/5 and 2/3?

a.3/6
b.3/4
c.5/8
d.7/10

We'll be glad to check your answers.

For the first one, I got 42/5

The second one i got 3/4

I don't really get the second one...

1.

8 = 40 / 5

8 2 / 5 = 40 / 5 + 2 / 5 = 42 / 5

Answer a.

2.

3 / 5 = 0.6

2 / 3 = 0.666

You must find number between 0.6 and 0.666

3 / 6 = 1 / 2 = 0.5

3 / 4 = 0.75

5 / 8 = 0.625

7 / 10 = 0.7

Ansver c.

To find the equivalent fraction for 8 2/5 (Question 1), first multiply the whole number (8) by the denominator (5), then add the numerator (2) to get the numerator of the equivalent fraction. The denominator remains the same.

So, 8 2/5 = (8 * 5 + 2)/5 = 42/5

Therefore, the answer is option a. 42/5.

To determine which fraction is between 3/5 and 2/3 (Question 2), we need to compare the fractions.

The denominators of 3/5 and 2/3 are 5 and 3, respectively. To compare fractions with different denominators, we need to find the least common denominator (LCD).

The LCD of 5 and 3 is 15.

Now, we need to convert both fractions to have the common denominator of 15.

For 3/5, multiply the numerator and denominator by 3: (3/5) * (3/3) = 9/15.

For 2/3, multiply the numerator and denominator by 5: (2/3) * (5/5) = 10/15.

Now we have 9/15 < 10/15, which means that any fraction between 9/15 and 10/15 will be between 3/5 and 2/3.

Looking at the answer choices, none of the given fractions have a common denominator of 15. However, we can convert them to their equivalent fractions with a denominator of 15:

a. 3/6 = (3/6) * (5/5) = 15/30
b. 3/4 = (3/4) * (3/3) = 9/12
c. 5/8 = (5/8) * (3/3) = 15/24
d. 7/10 = (7/10) * (3/3) = 21/30

Since 9/15 < 15/24 < 10/15, the fraction 15/24 (option c) is the only one that falls between 3/5 and 2/3.

Therefore, the answer to Question 2 is option c. 15/24.