All categories

3 years ago

What is the least common denominator of 4/7, 5/14, and 4/15.

Mathematics

1 answer:

lukranit [14]3 years ago

3 0

Answer:

210

Step-by-step explanation:

Rewriting input as fractions if necessary:

4/7, 5/14, 4/15

For the denominators (7, 14, 15) the least common multiple (LCM) is 210.

LCM(7, 14, 15)

Therefore, the least common denominator (LCD) is 210.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

4/7 = 4/7 × 30/30 = 120/210

5/14 = 5/14 × 15/15 = 75/210

4/15 = 4/15 × 14/14 = 56/210

You might be interested in

( -3/4 + 4/3) + i =0 Show your work. (Please help)

Effectus [21]

Answer:

i = -7/12

Step-by-step explanation:

(-3/4 + 4/3) + i = 0

(-9/12 + 16/12) + i = 0

7/12 + i = 0

i = -7/12

6 0

3 years ago

Read 2 more answers

Use the alternative form of the dot product to find u · v.

vodka [1.7K]

Answer:

Step-by-step explanation:

u = 45

v = 30

Angle between them, θ = 5π / 6 = 150°

(a) The formula for the dot product is given by

$\overrightarrow{u}.\overrightarrow{v}= u v Cos\theta$

$\overrightarrow{u}.\overrightarrow{v}= 45 \times 30 \times Cos150$

$\overrightarrow{u}.\overrightarrow{v}= -1169.13$

(b) $\overrightarrow{u}=Cos\frac{\pi }{3}\widehat{i}+Sin\frac{\pi }{3}\widehat{j}$

$\overrightarrow{u}=0.5\widehat{i}+0.866\widehat{j}$

$\overrightarrow{v}=Cos\frac{2\pi }{3}\widehat{i}+Sin\frac{2\pi }{3}\widehat{j}$

$\overrightarrow{v}=-0.707\widehat{i}+0.707\widehat{j}$

Let the angle between them is θ

The formula in terms of the dot product is given by

$Cos\theta =\frac{\overrightarrow{u}.\overrightarrow{v}}{u v}$

$u=\sqrt{0.5^{2}+0.866^{2}}=1$

$v=\sqrt{-0.707^{2}+0.707^{2}}=1$

$Cos\theta =\frac{0.5 \times (-0.707) + 0.866 \times 0.707)}{1\times 1}$

$Cos\theta=0.2587$

θ = 75°

$u=\sqrt{1^{2}+4^{2}+8^{2}}=9$

$Cos\alpha =\frac{1}{9}$

$Cos\beta =\frac{4}{9}$

$Cos\gamma =\frac{8}{9}$

7 0

4 years ago

Can you add these fractions.

gladu [14]

5= <span>43/30= 1.43= 1 43/100</span>
6= 91/60= 1.52= 1 52/100
7= 59/30= 2
8= 19/15= 1.3
9= 6/5=1.2
10=97/60=1.616

5 0

4 years ago

In the diagram below, QRS is an equilateral triangle and RT QS.

Alina [70]

Whats the question? not really understanding what your asking?

7 0

3 years ago

Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days.

gtnhenbr [62]

Julie will because if you divide 19 and 6 you get 3.16666666666 etc and when you divide 12 by 4 you get 3 so that means that Julie will get $1000 before Mary does. Not the best wording but it worked for me ;)

8 0

3 years ago

Read 2 more answers