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Chapter 5: Q17. (page 224)

Write the decimal as a fraction or mixed number.

2.6炉

Short Answer

Expert verified

223 is the fraction number of decimal 2.6炉.

Step by step solution

01

Step 1. Given information

Consider, the decimal 2.6炉 provided in question

02

Step 2. Calculation 

To evaluate fraction number of decimal 2.6炉, it is needed to remove the bar as here one digit is repeating so multiply the number by 10

Therefore, the fraction number obtained as follows:

x=2.6炉=2.66...鈥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)鈥�

By multiplying 10 each sides.

10x=26.66...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�equation(2)

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

10x鈭�x=26.66...鈭�2.66...9x=24x=249

Simplify the fraction into mixed fraction and in decimal as follows:

249=83=2.6炉=223

Hence,

223 is the mixed number of decimal 2.6炉

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Most popular questions from this chapter

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

-18

Write the decimal as a fraction or mixed number.

0.897炉

Order the numbers from least to greatest.

0.7,鈥�-1,鈥�-54,鈥�43,鈥�-2.3,-92

Order the numbers from least to greatest.

0.21,鈥�鈥�2.3,鈥�鈥�83,鈥�鈥�-0.1,鈥�鈥�-15,鈥�鈥�0.2炉

Simplify

18x224x
See all solutions

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