Question

Find the lowest common denominator (LCD) in the following group of fractions: 10/12 1/3 1/4

77

likes
386 views

Answer to a math question Find the lowest common denominator (LCD) in the following group of fractions: 10/12 1/3 1/4

Expert avatar
Miles
4.9
111 Answers
1. Identify the denominators: 12, 3, 4.
2. Find the prime factorizations:
12 = 2^2 \cdot 3
3 = 3^1
4 = 2^2
3. Determine the highest power of each prime number:
- For 2: the highest power is 2^2 .
- For 3: the highest power is 3^1 .
4. Multiply these highest powers together:
2^2 \cdot 3^1 = 4 \cdot 3 = 12
5. The lowest common denominator is:
\text{LCD} = 12

Thus, the answer is

\text{LCD} = 12

Frequently asked questions (FAQs)
Math question: Consider the graph of a quadratic equation. What is the shape of its graph?
+
What is the simplified form of (2^3 × 5^2) ÷ (2^2 × 5^3)?
+
What is the period of the trigonometric function f(x) = sin(3x+4)?
+
New questions in Mathematics
A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.
A software company incurs a cost of $50 per license sold plus $5,000 in fixed costs. How many licenses should you sell to minimize total costs?
A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?
90 divided by 40
Let I ⊂ R be a bounded and nonempty interval. Show that there are numbers a, b ∈ R with a ≤ b and I =[a,b] or I =[a,b) or I =(a,b] or I =(a,b)
Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.
Find the root of x^4-10x^ 5=0 using Newton's method, with a precision of the smallest positive root.
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
41/39 - 1/38
The equation of the straight line that passes through the coordinate point (2,5) and is parallel to the straight line with equation x 2y 9 = 0 is
What is 28 marks out of 56 as a percentage
Express the trigonometric form of the complex z = -1 + i.
17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
A 20-year old hopes to retire by age 65. To help with future expenses, they invest $6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value (using the Rule of 72)?
The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.
4m - 3t + 7 = 16
For how long does the principal amount of €7,537 bring the same interest as the principal amount of €12,345 invested for 8 months? Interest calculation is simple and decursive.
-1/3x+15=18
Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.
f(x)= 9-x^2 find (f(x+h)-f(x) )/h