1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alona [7]
3 years ago
7

How does finding the least common multiple of two numbers help you add fractions?

Mathematics
1 answer:
just olya [345]3 years ago
3 0
Because, actually, I'll give an example. 4/5 + 3/4, the LCM of the denominators is 20, so you would get this to be 16/20 + 15/20, which would equal 31/20, which equals 1 11/20.
You might be interested in
<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E%7B%20%20%5Cpi%20%7D%20%5Ccos%28%20%5Ccot%28x%29%20%20%20%20-%20%2
Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx

but the integrand is even, so this is really just

\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx

Substitute x = 1/2 arccot(u/2), which transforms the integral to

\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du

There are lots of ways to compute this. What I did was to consider the complex contour integral

\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}

and it follows that

\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}

7 0
1 year ago
Which two statements are missing in steps 3 and 4?
Snezhnost [94]

Answer:

∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.

Step-by-step explanation:

1. AB=6 units

YZ=3 units

BC=8 units

XY=4 units, then

\dfrac{AB}{ZY}=\dfrac{BC}{YX}=2

2. \angle B and \angle Y are right angles - given

3.  \angle B\cong \angle Y two right angles are always congruent.

4. \triangle ABC\sim \triangle ZYX by SAS similarity theorem.

SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

4 0
2 years ago
Read 2 more answers
What is:
RSB [31]

Answer:

0

Step-by-step explanation:

Anything times 0 is 0.

7 0
2 years ago
What is the area of the red shaded sector ?
scoundrel [369]

answer is 5.58

wait I explain it in some time

4 0
2 years ago
A small tree was planted at a height of 6 feet. The tree has been planted for 16 months, and is now 49.2 feet tall. Which equati
Jet001 [13]

Answer:

YOU MUST HAVE ONC WONDERED WHAT IS CHICKEN PO0. WELL IM HERE TO TELL YOU. PLEASE STOP EATING IT. IT MUGHT BE BAD FOR YOU.

ALS OTHE ANSWEER IS A>6x+16=49>2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • You're insecure
    13·2 answers
  • Terrence has 64 stamps. Of his stamps, 12 are from Europe and 1/4 are from Africa. The rest are from Asia. What fraction of his
    8·1 answer
  • Solve the following equation for x: 64 = 23x. A. x = 2.5 B. x = 1 C. x = 2 D. x = 3
    15·1 answer
  • What is 3 3/4 as a fraction
    6·1 answer
  • A virus is a<br> A) host. <br> B) producer. <br> C) consumer. <br> D) intracellular parasite.
    12·2 answers
  • Can’t figure this one out
    5·1 answer
  • Find the slope of the line. Enter your answer in simplest form.<br><br> Please answers this
    10·1 answer
  • What is the value of -2(x + 5)?
    14·1 answer
  • Find all x-values for which f ( x ) = 2 for the function below.
    8·1 answer
  • Please help I’ll mark you as brainliest if correct
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!