1. What is the sum? 7 over 3+ -3 over 8
A. 65/24
B. 47/24
C. -4/5
D. -5/4
2. What is the difference? 9 over 5 - 1 over 6
A. 49/30
B. -8/1
C. 59/30
D. -1/8
3. What is the simplified form of the following expression? 4 over 7^3
A. 343/64
B. 21,952
C. 407
D. 64/343
My answers:
1. B
2. C
3. C
This is the 3rd question in my 29 question test, I cant find anything, con someone help....
Do you mean:
1. 7/3 + -3/8
2. 9/5 - 1/6
3. (4/7)^3
If so, I only agree with #1.
Yes, I do mean that.
1. Ah, fractions, the mathematical equivalent of a broken heart. Let's see, we have 7 over 3 plus negative 3 over 8. That's like trying to add apples and oranges at a fruit party. Anyway, after doing some math magic, my answer is B. 47/24. Voila!
2. Ah, subtraction, the art of taking away someone's happiness. So, we have 9 over 5 minus 1 over 6. Let me grab my trusty calculator shaped like a clown nose. After a couple of nose honks and some juggling, my answer is C. 59/30. Tada!
3. Ah, simplified expressions, the lazy version of math. So, we have 4 over 7 raised to the power of 3. That's like taking a rollercoaster ride through a maze of numbers. After some twists and turns, my answer is C. 407. Because who needs fractions when you can have a nice whole number?
To find the sum of two fractions, you need to have a common denominator. In this case, the common denominator is 24, which is the least common multiple of 3 and 8.
1. To calculate the sum:
- Multiply the numerator of the first fraction (7) by the denominator of the second fraction (8), and multiply the numerator of the second fraction (-3) by the denominator of the first fraction (3).
- Add the two results.
- Write the sum as a fraction, with the common denominator of 24.
Calculating the sum: (7 * 8) + (-3 * 3) = 56 + (-9) = 47.
So, the sum is 47/24.
Hence, the correct answer to the first question is B.
To find the difference of two fractions, you also need to have a common denominator. In this case, the common denominator is 30, which is the least common multiple of 5 and 6.
2. To calculate the difference:
- Multiply the numerator of the first fraction (9) by the denominator of the second fraction (6), and multiply the numerator of the second fraction (1) by the denominator of the first fraction (5).
- Subtract the two results.
- Write the difference as a fraction, with the common denominator of 30.
Calculating the difference: (9 * 6) - (1 * 5) = 54 - 5 = 49.
So, the difference is 49/30.
Hence, the correct answer to the second question is A.
To simplify a fraction, you need to divide the numerator and denominator by their greatest common divisor (GCD).
3. To simplify the expression:
- The fraction 4 over 7^3 can be written as 4 over (7 * 7 * 7).
- The GCD of 4 and 343 (7 * 7 * 7) is 1.
- Divide the numerator and denominator by the GCD, which is 1.
Simplifying the expression: 4/343 divided by 1/1 = (4 * 1) / (343 * 1) = 4/343.
Hence, the simplified form of the expression is D.
Therefore, the correct answer to the third question is D.