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EastWind [94]
2 years ago
15

Convert the decimal expansion 0.291666... to a fraction

Mathematics
2 answers:
Roman55 [17]2 years ago
8 0

Answer: \frac{7}{24}


Step-by-step explanation:

The given decimal expansion : 0.291666......, where 6 is repeating.

Let x=0.291666...            (1)

First we multiply 10 on the both sides, we get

10x=2.916666......             (2)

Now, subtract (1) from (2), we get

10x-x=2.9166...-0.29166...\\\Rightarrow9x=2.625\\\Rightarrow\ x=\frac{2.625}{9}=\frac{2625}{1000}

Simplify it to the lowest fraction, we get

x=\frac{7}{24}


Alexus [3.1K]2 years ago
3 0
7/24
You could try rounding up to 0.292 first and try guessing it it gets to 73/250 which you could guess into 70/240.
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6 0
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Arlo invested $4000 in an account that earns 5.5% interest, compounded annually. The formula for compound interest is A(t)=P(1+i
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4 0
3 years ago
Read 2 more answers
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questio
nlexa [21]

The measure of angle ∠ACB is 70°. Then the correct option is C.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

∠ABC + ∠BCA + ∠CAB = 180°

        60° + ∠BCA + 50° = 180°

                           ∠BCA = 180° – 110°

                           ∠BCA = 70°

Then the correct option is C.

The complete question is given below.

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.

The measure of ABC is 60

The measure of BAC is 50

The measure of ACB will be

a. 50

b. 60

c. 70

d. 120

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

4 0
1 year ago
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9514 1404 393

Answer:

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Step-by-step explanation:

  \dfrac{15}{4}=\dfrac{12+3}{4}=\dfrac{12}{4}+\dfrac{3}{4}\\\\=3+\dfrac{3}{4}=\boxed{3\dfrac{3}{4}}

__

The integer part of the mixed number is the quotient when the numerator is divided by the denominator. The remainder from that division is the numerator of the fraction.

  15/4 = 15 ÷ 4 = 3 r 3 = 3 3/4

5 0
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