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3 years ago

Write the fraction as a product of a whole number and a unit fraction. 7/8

Mathematics

1 answer:

aleksklad [387]3 years ago

7 0

The unit fraction of 7/8 is 1/8

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Please solve and explain. Photo attached

ss7ja [257]

$$\frac{(x+1)(x-3)}{x^{2}}$

Solution:

Given expression:

$$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}$

To solve this expression:

$$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}$

Apply the fraction rule: $$\frac{a}{\frac{b}{c}}=\frac{a \cdot c}{b}$

$$=\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}$

Let us solve $\frac{36}{x^{2}}+\frac{36}{x}$ .

Least common multiple of $x^{2}, x$ is $x^{2}$ .

Make the denominator same based on the LCM.

So that multiply and divide the 2nd term by x, we get

$$\frac{36}{x^{2}}+\frac{36}{x}=\frac{36}{x^{2}}+\frac{36 x}{x^{2}}$

$$=\frac{36+36 x}{x^{2}}$

Now, multiply by (x - 3).

$$\frac{36+36 x}{x^{2}}(x-3)= \frac{(36 x+36)(x-3)}{x^{2}}$

$$\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}=\frac{\frac{(36 x+36)(x-3)}{x^{2}}}{36}$

Apply the fraction rule: $\frac{\frac{b}{c}}{a}=\frac{b}{c \cdot a}$

$$=\frac{(36x+36)(x-3)}{x^{2} \cdot 36}$

$$=\frac{36(x+1)(x-3)}{x^{2} \cdot 36}$

Cancel the common factor 36.

$$=\frac{(x+1)(x-3)}{x^{2}}$

Hence the solution is $\frac{(x+1)(x-3)}{x^{2}}$ .

7 0

4 years ago

I need help with this

Aliun [14]

Answer:

use air math it will give u full explanation

5 0

2 years ago

Read 2 more answers

Classify these sides G(-2,3),H(0,3) and I(3,-2) then determine whether it is a right triangle ?

qwelly [4]

Answer:

c.c.c.c.cc..c.c.c..c

anjayyy

5 0

3 years ago

Assume this is a positive ordered set of data which statistics show. values that would most likely describe the following set of

andrew11 [14]

I think it is 20 because you have to multiply and then divide them add 11 then subtract 9 idk what I am saying

7 0

3 years ago

A private ship carries two types of cargo: large crates and extra-large crates. Each type of crate weighs a specific amount.

Arisa [49]

Answer:

G. 32

Step-by-step explanation:

32 x 335 = 10720

16,100 - 10720 = 5380/190 = 28.3157894737

275 x 32 = 8800

18,800 - 8800 = 10,000/400 = 25 (This is the closer).

30 x 335 = 10,050

16,100 - 10,050 = 6050/190 = 31.8421052632

30 x 275 = 8250

18,800 - 8250 = 10550/400 = 26.375 (Same reason why it does't work)

25 x 335 = 8375

16,100 - 8375 = 7725/190 = 40.6578947368

25 x 275 = 6875

18,800 - 6875 = 11925/400 = 29.8125

24 x 335 = 8040

16,100 - 8040 = 8060/190 = 42.4210526316

24 x 275 = 6600

18,800 - 6600 = 12200/400 = 30.5

8 0

3 years ago