Change the mixed number to an improper fraction

4 1/3

To convert the mixed number 4 1/3 to an improper fraction, we need to find the sum of the whole number and the fractional part.

First, we multiply the whole number (4) by the denominator of the fraction (3), and then add the numerator (1).
4 * 3 + 1 = 12 + 1 = 13

Now, we place the result (13) over the denominator (3) to create the improper fraction:
13/3

Therefore, the mixed number 4 1/3 is equal to the improper fraction 13/3.

compare the numbers below using <,>,=

-4.25 __ -4.5

To compare -4.25 and -4.5, we can simply compare their decimal values.

-4.25 is smaller than -4.5.

Therefore, -4.25 < -4.5.

what is 15% of 95%?

To find 15% of 95%, you multiply 15% (or 0.15) by 95%.

0.15 * 0.95 = 0.1425

Therefore, 15% of 95% is 0.1425 or 14.25%.

What is the GCF of 45 and 60?

To find the Greatest Common Factor (GCF) of 45 and 60, we can use a method called prime factorization.

Step 1: Prime factorize both numbers.
45 = 3 × 3 × 5
60 = 2 × 2 × 3 × 5

Step 2: Identify the common prime factors.
The common prime factors are 3 and 5.

Step 3: Multiply the common prime factors.
3 × 5 = 15

Therefore, the GCF of 45 and 60 is 15.

Each day that an assignment is late, you lose 3 points. If Erica hands in her assignment 5 days late, what integer represents the number of points she will lose?

If Erica hands in her assignment 5 days late, she will lose 3 points for each day.

To find the total number of points she will lose, we multiply the number of days late (5) by the points lost per day (3).

5 * 3 = 15

Therefore, Erica will lose 15 points for handing in her assignment 5 days late.

a recipe calls for 2 cups of sugar for every 3 cups of flour. If you use 8 cups of sugar, how many cups of flour do you need?