The repeating decimal 0.625625625 represented as a fraction in its simplest form is 1001001/1600000.
<h3>What is a fraction?</h3>
Fraction simply refers to number expressed as a quotient, in which a numerator is divided by a denominator.
For example, a/b
Given that;
- Decimal number = 0.625625625
- Number in fraction form = ?
First, we rewrite the decimal number as a fraction with 1 in the denominator.
0.625625625 = 0.625625625/1
Next, we multiply to remove 9 decimal places. ( multiply top and bottom numbers with 1000000000 )
0.625625625 = 0.625625625/1 × 1000000000/1000000000
0.625625625 = 625625625/1000000000
Next, we simply, 625 can go through the numerator and denominator.
0.625625625 = 625625625/1000000000 = 1001001/1600000
Therefore, the repeating decimal 0.625625625 represented as a fraction in its simplest form is 1001001/1600000.
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An example of congruence similarity and transformations work is " If the measures of the angles of a triangle are in the ratio 4 : 5 : 9. The triangle is?.
<h3>What is right angled triangle?</h3>
A right triangle is known to be often called right-angled triangle. It is said to be a triangle that is composed of one angle which is at a right angle and two sides which are said to be perpendicular.
So lets take the angles to be 4x, 5x and 9x
We add them to be 4x + 5x + 9x =180°
18x=180° =
x= 180/18
x = 18
So therefore the angles are:
4×10°
=40°
5×10°
=50°
9×10°
=90°
So therefore since one of the angle is 90° and as such, the triangle is right angled triangle.
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The minimum number of people who claimed ancestry from all three heritages is : 45
Given that there are 100 relatives
let's assume that 1 relative = 1 room
100 relatives = 100 rooms
Number of relatives with Italian heritage = 90
Number of relatives with German heritage = 80
Number of relatives with swiss heritage = 75
<u>Step 1 : </u>
Fill up the first 90 rooms with Italian heritage relatives
Fill up the remaining 10 rooms with 10 Relatives with German heritage
<u>Step 2 :</u>
Distribute the remaining 70 relatives with German heritage into 70 rooms out of the 90 rooms already occupied by the relatives with Italian heritage
<u>Step 3: </u>
Distribute the 75 relatives with swiss heritage into the 20 rooms occupied by Italian heritage relatives only and<em> </em><u><em>45 rooms</em></u><u><em> occupied by both </em></u><u><em>German and Italian relatives</em></u><u><em> </em></u>and into the 10 rooms occupied by the German heritage relatives
Therefore we can conclude that the minimum number of people who claimed ancestry from all three heritages is : 45
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