Hello, I just wanted to know if someone could check my work to see if they are right or wrong. Thanks :)

5. Find 2/5 of 4/11.
Answer: 8/55

8. Are 3/21 and 3/54 equivalent fractions?
Answer: No

14. Write in decimal form 8 583/10,000
Answer: 8.0583

22. Solve for the unknown: 8/52 = m/39
Answer: m=6

25. 1,155 is what percent of 210?
Answer: 550%

26. What is 60% of 240?
Answer: 144

38. Add 2.90 + (-2.33)
Answer: 0.57

39. Subtract 7/9 - (-13/18)
Answer: 1/18

all correct except the last one

7/9 - (-13/18)
= 7/9 + 13/18
= 27/18
= 3/2 or 1 1/2

Thanks so much I really appreciate your help!

Sure! I'd be happy to check your answers and explain how to get the correct ones.

5. Finding 2/5 of 4/11:
To find 2/5 of 4/11, you can multiply these fractions together. Multiply the numerators (2 * 4 = 8) and multiply the denominators (5 * 11 = 55). The result is 8/55, which matches your answer. Good job!

8. Comparing 3/21 and 3/54:
To determine if two fractions are equivalent, you need to simplify them to their lowest terms. In this case, both fractions can be simplified by dividing the numerator and denominator by their greatest common divisor. For 3/21, the greatest common divisor is 3, so dividing both the numerator and denominator by 3 gives us 1/7. For 3/54, the greatest common divisor is also 3, so dividing both the numerator and denominator by 3 gives us 1/18. Therefore, the two fractions are not equivalent, which matches your answer. Well done!

14. Writing 8 583/10,000 in decimal form:
To convert a fraction to a decimal, divide the numerator by the denominator. In this case, divide 8,583 by 10,000. The result is 0.8583. However, you have written the answer as 8.0583, which is incorrect. Please review your decimal placement.

22. Solving for the unknown: 8/52 = m/39:
To solve for the unknown variable m, you can use cross multiplication. Multiply the numerator of the first fraction (8) by the denominator of the second fraction (39) and set it equal to the product of the denominator of the first fraction (52) and the numerator of the second fraction (m). This gives you the equation 8 * 39 = 52 * m. Simplifying this equation, 312 = 52m. Divide both sides of the equation by 52 to solve for m, which gives you m = 6. Your answer is correct!

25. Finding the percent of one number compared to another: 1,155 is what percent of 210?
To find out what percent one number is of another, you can divide the first number by the second number and multiply the result by 100. In this case, divide 1,155 by 210 and multiply the result by 100. This gives you (1,155/210) * 100 = 550%. This matches your answer, well done!

26. Finding 60% of 240:
To find a certain percentage of a number, you can multiply the number by the percentage as a decimal. In this case, 60% can be written as the decimal 0.6. Multiply 0.6 by 240, and you get 144. Your answer is correct!

38. Adding 2.90 and -2.33:
To add a positive number and a negative number, you can simply subtract their absolute values while considering the sign of the larger number. In this case, abs(2.90) - abs(2.33) = 0.57. The sign stays positive because 2.90 is larger than 2.33. So, the answer is 0.57. Well done!

39. Subtracting 7/9 and -13/18:
To subtract two fractions, you need to find a common denominator. In this case, the common denominator is 18. Rewrite both fractions with the denominator 18. 7/9 becomes 14/18, and -13/18 remains the same. Now, you can perform the subtraction: 14/18 - (-13/18) = 14/18 + 13/18 = 27/18. However, this fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 9. Dividing 27 by 9 and 18 by 9 gives us 3/2 or 1/2. So, the answer is 1/2. Great job on getting the correct answer!