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Sonja [21]
3 years ago
10

Prove algebraically that 0.5 recurring = 5/9

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring part after the decimal point.

Let x = 0.555..... → (1)

Multiply both sides by 10, then

10x = 5.555..... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

(10x - x) = (5.5555 - 0.5555 ), that is

9x = 5 ( divide both sides by 9 )

x = \frac{5}{9}

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Answer:

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6.ice cream shop uses a mix of blueberries and cherhes on its ice cream sundaes. The shop has 5 3/4 pounds of blueberries and 4
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What is 2.125 as a fraction?
Nuetrik [128]

2.125 = 17/8 = 21/8 as a fraction


Step by Step Solution

To convert the decimal 2.125 to a fraction follow these steps:


Step 1: Write down the number as a fraction of one:


2.125 = 2.125/1


Step 2: Multiply both top and bottom by 10 for every number after the decimal point:


As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,


2.125/1 = (2.125 x 1000)/(1 x 1000) = 2125/1000.


Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(2125,1000) = 125. So,


(2125÷125)/(1000÷125) = 17/8 when reduced to the simplest form.


As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 2125/1000 is also equal to 2 1/8 when expressed as a mixed number.


Hope that helps feel free to ask me questions

Brainliest??


5 0
3 years ago
2(x-5)=3(x+7) Show the process, please.
chubhunter [2.5K]

Answer:

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Answer:

interest = $108

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<u>interest = $108</u>

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