All categories

1 year ago

As an improper fraction simplified

Mathematics

2 answers:

bazaltina [42]1 year ago

5 0

Answer:

For this question, you can make the denominators the same to get the answer.

LCM of 7 and 9 = 63

$\frac{6}{7} + \frac{4}{9} = \frac{54}{63} + \frac{28}{63} \\$

= $\frac{82}{63}$

= 1 $\frac{19}{63}$

ss7ja [257]1 year ago

3 0

Answer:

82/63

Step-by-step explanation:

The sum can be found using the formula ...

$\dfrac{a}{b}+\dfrac{c}{d} =\dfrac{ad+bc}{bd}$

For the given fractions, the sum is ...

$\dfrac{6}{7}+\dfrac{4}{9} =\dfrac{6\cdot9+7\cdot4}{7\cdot9}=\dfrac{54+28}{63}=\boxed{\dfrac{82}{63}}$

_____

<em>Additional comment</em>

When the denominators have no common factor, the least common denominator is their product, as here.

You might be interested in

Give the radian measure of an angle drawn in standard position that corresponds with the ray containing the coordinate point (−1

Sergeu [11.5K]

Answer:

The radian measure of the angle drawn in standard position that corresponds with the ray containing the coordinate point $(-12, -3\sqrt{2})$ is approximately $1.108\pi$ radians.

Step-by-step explanation:

With respect to origin, the coordinate point belongs to the third quadrant, which comprises the family of angles from $\pi\,rad$ to $\frac{3\pi}{2}\,rad$ . The angle in standard position can be estimated by using the following equivalence:

$\theta = \pi\,rad + \tan^{-1} \left(\frac{3\sqrt{2}}{12} \right)$

$\theta \approx \pi \,rad + 0.108\pi \,rad$

$\theta \approx 1.108\pi\,rad$

The radian measure of the angle drawn in standard position that corresponds with the ray containing the coordinate point $(-12, -3\sqrt{2})$ is approximately $1.108\pi$ radians.

5 0

2 years ago

Will give 50 points for this answer. Perform the indicated operation. 22 6/7 ∙ 1 1/2

Varvara68 [4.7K]

Answer:

22 $\frac{6}{7}$ × $\frac{11}{2}$ = 125 .71

Step-by-step explanation:

22 $\frac{6}{7}$ × $\frac{11}{2}$

={[ ( 22 × 7) + 6] ÷ 7 } × $\frac{11}{2}$

= $\frac{160}{7}$ × $\frac{11}{2}$

= $\frac{1760}{14}$

= $\frac{880}{7}$

= 125 .71

5 0

2 years ago

Transform the equation.

zvonat [6]

Answer:

2 (6/x-6)+4

Step-by-step explanation:

5 0

2 years ago

How much taller is a meter stick than a 51 cm loveseat

mestny [16]

Answer:

9cm

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Problem 2. Smasher Van bound for Koronadal City leaves Polomolok every 15 minutes

astraxan [27]

Answer:

5. c. Every 1 hour

6. c. 4 times

7. b. 3 times

Step-by-step explanation:

The given parameters of the rate of departure of the two vans are;

The rate of departure of Smasher Van bound for Koronadal City = Every 15 minutes

The rate of departure of Nustafa Van= Every 20 minutes

5. The time, 'x', when the two vans leave at the same time is given by the Lowest Common Multiple (LCM) of 15 and 20 as follows;

Multiples of 15 = 15, 30, 45, 60

Multiples of 20 = 20, 40, 60

Therefore, the LCM of 15 and 20 = 60

The time, when the two vans leave at the same time = Every 60 minutes = Every 1 hour

The time, when the two vans leave at the same time = Every 1 hour

6. The number of times the Smasher Van leaves Polomolok so that the two vans leave together is given by the number of multiples 15 minutes in 60 minutes = 60 minutes/(15 minutes) = 4 times

7. The number of times the Nustafa Van leaves Polomolok so that the two vans leave together is given by the number of multiples 20 minutes in 60 minutes = 60 minutes/(20 minutes) = 3 times.

7 0

2 years ago