All categories

3 years ago

2/9 divided by 5/12 in a simples form answer is a fracton

Mathematics

1 answer:

MArishka [77]3 years ago

8 0

Answer:

8 / 15

Step-by-step explanation:

2/9 ÷ 5/12

= 2/9 × 12/5 Reciprocal of 5/12

= 2×12 / 9×5 Multiply num. by num. and denom. by denom.

= 24 / 45 Find LCD

= 24 ÷ 3 / 45 ÷ 3 Divide num. and denom. by LCD to simplify.

= 8 / 15

You might be interested in

Akiko leaves the mall and drives directly west at a speed of 60 mph. At the same time, Kosuke leaves the mall and drives 40 degr

Ostrovityanka [42]

You know that Akiko is 45 miles from the origin...Kosuke is (135/4) miles from the origin... You can draw a figure to clearly see the situation.

you "know" that the angle between their routes is 140º 

the side opposite (140º) is the distance between them... 

c^2 = (45)^2 + (135/4)^2 - 2(45)(135/4) cos 140 

c ≈ 74.1 mile

Hope this answers the question.

8 0

3 years ago

What is the sum of the first 51 consecutive odd positive integers?

Angelina_Jolie [31]

We call:

$a_{n}$ as the set of the first 51 consecutive odd positive integers, so:

 $a_{n} = \{1, 3, 5, 7, 9...\}$

Where:
$a_{1} = 1$
$a_{2} = 3$
$a_{3} = 5$
$a_{4} = 7$
$a_{5} = 9$
and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

 $a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}$

Then:

 $a_{n} = a_{1} + (n-1)d$

So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

 $S_{k} = ( \frac{a_{1} + a_{k}}{2} ).k$

Therefore, we need to find:
 $a_{k} = a_{51}$

Given that $a_{1} = 1$ , then:

$a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1$

Thus:
$a_{k} = a_{51} = 2(51)-1 = 101$

Lastly:

$S_{51} = ( \frac{1 + 101}{2} ).51 = 2601$

4 0

4 years ago

What is the answer to 3/5(x-4)=9

Irina-Kira [14]

Answer:

Step-by-step explanation:

pls mark as brainliest!!!

8 0

4 years ago

Integers are __________ whole numbers

KatRina [158]

Yes they are always whole numbers!
A. Always

8 0

3 years ago

Each day, mr. ling has a boy and a girl summarize the assignment for the day. there are 8 boys and 9 girls in his group. in how

miv72 [106K]

8x9=72

In 72 ways. Hope this helps.

4 0

3 years ago