And are these correct
1. Identify the pair of fractions equivalent to 25/45 *
5/9, 75/135**********
5/9, 20/40
50/90, 75/120
5/8, 75/135
2. Write 30/7 as a mixed number in simplest form. *
4 and 2/7**********
4 and 7/2
1 and 4/7
1 and 5/7
3. Write 27/36 in simplest form. *
3/4***********
2/3
3/5
1/5
4. What is the LCM of 4, 3, 10, and 8? *
80
240**************
120
30
5. Which statement is true? *
29/35 < 20/30
14/21 > 17/24*************
18/32 > 16/32
20/15 < 28/23
1. I agree.
2. I also agree.
3. I agree with this as well
4. I disagree. I think the LCM is 120.
5. I also disagree. 14 / 21 = 0.66666. 17 / 24 = 0.708333.
.66 is not greater than .07.
I think the right answer is C, since they have like denominators; 18 is larger than 16.
1. Yes, the pair of fractions equivalent to 25/45 is 5/9 and 75/135.
2. Yes, 30/7 can be written as the mixed number 4 and 2/7.
3. Yes, 27/36 can be simplified to 3/4.
4. Yes, the LCM (Least Common Multiple) of 4, 3, 10, and 8 is 240.
5. Yes, the statement "14/21 > 17/24" is true.
1. To identify the pair of fractions equivalent to 25/45, you can simplify the fraction 25/45 by finding the greatest common divisor (GCD) of the numerator and denominator, which in this case is 5. Dividing both the numerator and denominator by 5 gives you 5/9. Therefore, the pair of fractions equivalent to 25/45 is 5/9.
2. To write 30/7 as a mixed number in simplest form, you divide the numerator (30) by the denominator (7). The quotient is 4, and the remainder is 2. So, the mixed number is 4 and 2/7. In simplest form, this would be the final answer.
3. To write 27/36 in simplest form, you can simplify the fraction by finding the GCD of the numerator and denominator, which in this case is 9. Dividing both the numerator and denominator by 9 gives you 3/4. Therefore, 3/4 is the simplest form of the fraction 27/36.
4. To find the least common multiple (LCM) of 4, 3, 10, and 8, you can either list the multiples of each number and find the smallest number that is divisible by all of them, or you can use prime factorization.
Here's how to use prime factorization:
- Prime factorize each number:
- 4 = 2²
- 3 = 3¹
- 10 = 2¹ * 5¹
- 8 = 2³
- Identify the highest power of each prime factor:
- 2³
- 3¹
- 5¹
- Multiply these prime factors together:
- 2³ * 3¹ * 5¹ = 8 * 3 * 5 = 120
Therefore, the LCM of 4, 3, 10, and 8 is 120.
5. To determine which statement is true, you need to compare the two fractions and determine their relative size.
- For the statement "29/35 < 20/30," you can simplify both fractions to 2/3, so the statement would be 2/3 < 2/3, which is not true.
- For the statement "14/21 > 17/24," you can simplify both fractions to 2/3, so the statement would be 2/3 > 2/3, which is not true.
- For the statement "18/32 > 16/32," these fractions have the same denominator, so you can compare their numerators directly. Since 18 is greater than 16, the statement is true.
- For the statement "20/15 < 28/23," you can cross multiply and compare the products. 20 * 23 = 460, and 15 * 28 = 420, so the statement 460 < 420 is not true.
Therefore, the correct statement is "14/21 > 17/24."