All categories

3 years ago

Please help me solve this! If you could solve my other questions that haven't been solved that would be great!

Mathematics

1 answer:

Daniel [21]3 years ago

3 0

Answer:

The simplest form of the complex fraction $\frac{\frac{8}{9}}{8}$ is $\frac{1}{9}$

Step-by-step explanation:

In the complex fractions $\frac{\frac{a}{b}}{c}$ = $\frac{a}{b}$ ÷ c

To simplify it change ÷ to × and reciprocal c

$\frac{\frac{a}{b}}{c}$ = $\frac{a}{b}$ ÷ c = $\frac{a}{b}$ × $\frac{1}{c}$ = $\frac{a}{bc}$

In the complex fractions $\frac{a}{\frac{b}{c}}$ = a ÷ $\frac{b}{c}$

To simplify it change ÷ to × and reciprocal $\frac{b}{c}$

$\frac{a}{\frac{b}{c}}$ = a ÷ $\frac{b}{c}$ = a × $\frac{c}{b}$ = $\frac{ac}{b}$

Let us solve the question

∵ The complex fraction is $\frac{\frac{8}{9}}{8}$

∵ $\frac{\frac{8}{9}}{8}$ = $\frac{8}{9}$ ÷ 8

→ Change ÷ to × and reciprocal 8

∴ $\frac{8}{9}$ ÷ 8 = $\frac{8}{9}$ × $\frac{1}{8}$

→ Cancel 8 up with 8 down

∴ $\frac{8}{9}$ × $\frac{1}{8}$ = $\frac{1}{9}$

∴ The simplest form of the complex fraction $\frac{\frac{8}{9}}{8}$ is $\frac{1}{9}$

You might be interested in

73, 81, 89, 75, 89, 86, 84, 78, 91, 78. What is the MAD

ruslelena [56]

89 would be the correct answer

8 0

3 years ago

I NEED THIS ANSWERED AS SOON AS POSSIBLE! How much material is needed to construct a triangular tent that is 6 feet wide, 4 feet

Elena-2011 [213]

To figure out this problem, you need to find the surface area of a triangular prism.

a=5ft

b=5ft

c=6ft

h=8ft

A= (a*h) + (b*h) + (c*h) + 1/2√-a⁴ + 2(a*b)² + 2(a*c) - b⁴ + 2(b*c) - c⁴

=152 square feet

5 0

3 years ago

Can someone answer this question please answer it correctly if it’s correct I will mark you brainliest

Strike441 [17]

Step-by-step explanation:

Comparing Rational Numbers:

1/7 , 3/9 , 0.2

0.142857... , 0.333333... , 0.2

a= 1/7

b= 0.2

c= 3/9

<h3></h3><h3>Hope this Helps!!!</h3><h3>:)</h3>

8 0

3 years ago

Read 2 more answers

[(1/(3+x))-(1/3)] / x Limit 0

Effectus [21]

First find a common denominator and combine the fractions in the numerator:

$\displaystyle\lim_{x\to0}\frac{\dfrac1{3+x}-\dfrac13}x=\lim_{x\to0}\frac{\dfrac3{3(3+x)}-\dfrac{3+x}{3(3+x)}}x=\lim_{x\to0}\frac{3-(3+x)}{3x(3+x)}$

Now simplify and cancel out all the terms that you can:

$\displaystyle\lim_{x\to0}\frac{3-3-x}{3x(3+x)}=-\frac13\lim_{x\to0}\frac1{3+x}$

Since the remaining expression is continuous as a function of $x$ , you can directly substitute to end up with

$\displaystyle-\frac13\lim_{x\to0}\frac1{3+x}=-\frac13\times\frac1{3+0}=-\frac19$

8 0

2 years ago

The coffee jug hold four times as much as the milk jug everyone has the same sized cup but each person likes different amounts o

svetlana [45]

We will assume that each of their cups holds exactly 1 cup of liquid. Let m represent milk and c represent coffee.
Jane = 1/2m + 1/2c to represent 1/2 milk and 1/2 coffee
Jean, June, and Joan = 3(1/4m + 3/4c) [they all 3 like the same ratio, so multiply the expression by 3], to represent 1/4 milk and 3/4 coffee
Ian = 1c (since he likes black coffee, his entire 1-cup dish of coffee will be coffee)
Adding these together we have:
1/2m + 1/2c + 3(1/4m + 3/4c) + 1c
= 1/2m + 1/2c + 3/4m + 9/4c + 1c
Find a common denominator:
= 2/4m + 2/4c + 3/4m + 9/4c + 1c
Convert the 1 whole to a fraction:
= 2/4m + 2/4c + 3/4m + 9/4c + 4/4c
Combine your m's:
= 5/4m + 2/4c + 9/4c + 4/4c
Combine your c's:
= 5/4m + 15/4c
We know there is 4 times as much coffee as milk. Looking at the two fractions we have left, we can see that 15/4 = 3(5/4). We would expect to see 4(5/4), since there is 4 times as much coffee. That means we have 5/4 or 1 1/4 of the liquid left.

7 0

3 years ago