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3 years ago

Simplest form of 3/4 +3/8

Mathematics

2 answers:

musickatia [10]3 years ago

6 0

Answer : 9/8 Or 1 1/8

◊ YusuCr ◊

Ymorist [56]3 years ago

6 0

Hello!

Here we have fractions with unlike denominators.

So, we need to find the common denominator (the LCM of both denominators).

LCM stands for Least Common Multiple.

So, what is the L.C.M. of 4 and 8?

It is 8.

So, 8 is the lowest common denominator.

Now, we multiplied the denominator of the first fraction by 2, so we multiply the numerator by 2:

$\bf{\displaystyle\frac{3}{4} = \frac{6}{8}$

Now, add:

$\bf{\displaystyle\frac{6}{8} +\frac{3}{8}$

$\bf{\displaystyle\frac{9}{8}$

Final Answer:

$\bf{\displaystyle\frac{9}{8}$ (Improper fraction)

$\bf{\displaystyle1\frac{1}{8}$ (Mixed number)

I hope it helps you.

Good luck and enjoy your day!

-SnowFlake

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Could you please solve this? I do not understand it.

oksano4ka [1.4K]

#2
Change mixed numbers to improper fractions. Then change division to multiplication by the reciprocal.
1 1/2 divided by 3/5=
(3/2) * (5/3) = 5/2 = 2 1/2
#3
(5/9) divided by (5/3)
(5/9) * (3/5) =3/9 = 1/3

3 0

4 years ago

The relation R is shown in the table below.

nydimaria [60]

Answer:

(Insert table here)

Domain: {-3,-1,1}

Range: {-1,2,4,5}

The relation Q is described as a list of ordered pairs, shown below.

Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }

Domain: {-2,-1,0,4}

Range: {-2,2,3,4}

Step-by-step explanation:

Because its the answer

3 0

3 years ago

Find the slope of the line containing the pair of points. (11,8) and (7,negative 2)

crimeas [40]

Answer:-2 1/2

Step-by-step explanation

-2-8=-10

7-11=-4

which gives you -10/-4 which simplifies to -2 1/2

6 0

3 years ago

Maddie spent $76 on shoes. That is 43% of her savings account. What is was the total amount of Maddie's savings account before p

marishachu [46]

Answer:

The total saving =$ 176.64

Step-by-step explanation: let Maddie's saving amount be x.

Maddie spent = $76 maddie spent in percent = 43%

We know, 43% of x = $76 or, 0.43x = $76 or, x = $76/0.43 or, x = $176.74

total savings = $176.74

6 0

3 years ago

What will be the value of

madreJ [45]

The expression as given doesn't make much sense. I think you're trying to describe an infinitely nested radical. We can express this recursively by

$\begin{cases}a_1=\sqrt{42}\\a_n=\sqrt{42+a_{n-1}}\end{cases}$

Then you want to know the value of

$\displaystyle\lim_{n\to\infty}a_n$

if it exists.

To show the limit exists and that $a_n$ converges to some limit, we can try showing that the sequence is bounded and monotonic.

Boundedness: It's true that $a_1=\sqrt{42}\le\sqrt{49}=7$ . Suppose $a_k\le 7$ . Then $a_{k+1}=\sqrt{42+a_k}\le\sqrt{42+7}=7$ . So by induction, $a_n$ is bounded above by 7 for all $n$ .

Monontonicity: We have $a_1=\sqrt{42}$ and $a_2=\sqrt{42+\sqrt{42}}$ . It should be quite clear that $a_2>a_1$ . Suppose $a_k>a_{k-1}$ . Then $a_{k+1}=\sqrt{42+a_k}>\sqrt{42+a_{k-1}}=a_k$ . So by induction, $a_n$ is monotonically increasing.