Mathematics, 30.06.2019 17:00 shardaeheyward139

Find three ways to show that 7/8 is greater than 5/6

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Answer from: ashleyd198308

Answer :

The three ways to show that 7/8 is greater than 5/6 are:

(1) Same denominator method

Multiply top and bottom of each fraction by the denominator of the other.

$\frac{7}{8}$ and $\frac{5}{6}$

To make the same denominator we will multiply top and bottom of each fraction by the denominator of the other.

$\frac{7\times 6}{8\times 6}$ and $\frac{5\times 8}{6\times 8}$

$\frac{42}{48}$ and $\frac{40}{48}$

That means, in the same denominator, more numerator value will be greater than the other.

$\frac{42}{48}$ > $\frac{40}{48}$

$\frac{7}{8}$ > $\frac{5}{6}$

(2) Same numerator method

Multiply top and bottom of each fraction by the numerator of the other.

$\frac{7}{8}$ and $\frac{5}{6}$

To make the same numerator we will multiply top and bottom of each fraction by the numerator of the other.

$\frac{7\times 5}{8\times 5}$ and $\frac{5\times 7}{6\times 7}$

$\frac{35}{40}$ and $\frac{35}{42}$

That means, in the same numerator, less denominator value will be greater than the other.

$\frac{35}{40}$ > $\frac{35}{42}$

$\frac{7}{8}$ > $\frac{5}{6}$

(3) In decimal form

$\frac{7}{8}=0.875$

and

$\frac{5}{6}=0.833$

Thus, $\frac{7}{8}$ > $\frac{5}{6}$

Answer from: Quest

use an equation of ratios to determine the amount of gas needed to fill the tank.

0.2 0.8

288.75 x

231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal $3

* = $3465 (answer)

1 1 gal

hope this you

Answer from: Quest

answer:

payment just for service

→

87.12

payment for service including tax

→

94.09

explanation:

service only with 20% tip

→

72.6

(

100

)

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the

service

−−−−−−

so technically the answer is

→

72.6

(

100

)

87.12

however, the intention of the question provider may have been that your answer is to be

87.12

(

100

)

94.09

to 2 decimal places.

payment just for service

→

87.12

payment for service including tax

→

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge

→

72.60

20% tip

100

72.60

14.52

−−−−−−

←

add

87.12

tax

100

87.12

6.97

−−−−−

←

add

94.09

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