Decimal to fraction

Write decimal number 8.638333333 as a fraction A/B in the basic form. Given decimal has infinite repeating figures.

Correct result:

A =  5183
B =  600

Solution:

8.638333333=AB  8.638333333=8.638+3⋅10−4+3⋅10−5+3⋅10−6+....=  =86381000+3⋅10−4⋅11−1/10=  =86381000+3⋅10−4⋅109=  =86381000+310000⋅109=  =86381000+39000=  =5183600  8.638333333=5183600  A=5183 B=600 

Try another example


We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  • Fraction
    Gauss_stamp Fraction ? write as fraction a/b, a, b is integers numerator/denominator.
  • Series and sequences
    seq_sum Find a fraction equivalent to the recurring decimal? 0.435643564356
  • Infinite decimal
    series Imagine the infinite decimal number 0.99999999 .. ... ... ... That is a decimal and her endless serie of nines. Determine how much this number is less than the number 1. Thank you in advance.
  • Fraction to decimal infinite
    decimals2 Determine which digit is in 1000th place after the decimal point in the decimal expansion of the fraction 9/28.
  • Sum of series
    question Determine the 6-th member and the sum of a geometric series: 5-4/1+16/5-64/25+256/125-1024/625+....
  • Fraction to decimal
    decimals Write the fraction 3/22 as a decimal.
  • Geometric progression
    fractal Fill 4 numbers between 4 and -12500 to form geometric progression.
  • Fraction and a decimal
    numbs_11 Write as a fraction and a decimal. One and two plus three and five hundredths
  • Infinite sum of areas
    height-of-equilateral-triangle Above the height of the equilateral triangle ABC is constructed an equilateral triangle A1, B1, C1, of the height of the equilateral triangle built A2, B2, C2, and so on. The procedure is repeated continuously. What is the total sum of the areas of all tr
  • Sequence
    mandlebrot Find the common ratio of the sequence -3, -1.5, -0.75, -0.375, -0.1875. Ratio write as decimal number rounded to tenth.
  • The fastest
    ship The fastest boat can reach speeds more than 710% as fast as the Queen Mary 2. How would you express this number as a fraction and as a decimal?
  • Series
    posloupnost_an Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ?
  • Cupcakes
    cakes In a bowl was some cupcakes. Janka ate one third and Danka ate one quarter of cupcakes. a) How many of cookies ate together? b) How many cookies remain in a bowl? Write the results as a decimal number and in notepad also as a fraction.
  • David number
    numbers2_4 Jana and David train the addition of the decimal numbers so that each of them will write a single number and these two numbers then add up. The last example was 11.11. David's number had the same number of digits before the decimal point, the Jane's numbe
  • Harmonic series
    mean_normal Insert four members between 5/3 and 5/11 to form harmonic series (means).
  • Write 2
    fractions_12 Write 791 thousandths as fraction in expanded form.
  • Mystery of stereometrie
    Tetrahedron Two regular tetrahedrons have surfaces 88 cm2 and 198 cm2. In what ratio is their volumes? Write as a fraction and as a decimal rounded to 4 decimal places.