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Chapter 5: Q16. (page 224)

Write the decimal as a fraction or mixed number.

0.78炉

Short Answer

Expert verified

7899 is the fraction number of decimal 0.78炉

Step by step solution

01

Step 1. Given information

Consider, the decimal 0.78炉 provided in question

02

Step 2. Calculation 

To evaluate fraction number of decimal 0.78炉, it is needed to remove the bar as here two digits are repeating so multiply the number by 100

Therefore, the fraction number obtained as

x=0.78炉=0.7878...鈥夆赌嬧赌嬧赌嬧赌嬧赌嬧赌嬧赌嬧赌嬧赌嬧赌嬧赌嬧赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌塭辩耻补迟颈辞苍1

By multiplying 100 each sides

100x=78.7878...鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�鈥�equation2

Subtract equation (1) from the equation (2).

100x鈭�x=78.7878...鈭�.7878...99x=78x=0.78炉=7899

Hence,

7899is the fraction number of decimal 0.78炉

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Most popular questions from this chapter

Solve the inequality. Graph your solution.

y3鈮�-12

Which number is not equivalent to 4066?

  1. 2033
  2. 6099
  3. 0.6炉
  4. 0.60炉

Show that the number is rational by writing it as a quotient of two integer.

-2

Order the numbers from least to greatest.

0.3,鈥�0.3炉,0.30炉,-0.3,-0.3炉

Let a and b represent non zero integers. Find a rational number in the form ab so that -1.7<aband ab>-53. Explain how you found the number.
See all solutions

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