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Chapter 5: Q51. (page 225)

Write the decimal as a fraction or mixed number.

-0.4¯

Short Answer

Expert verified

The fraction is -49.

Step by step solution

01

Step 1. Given information

Consider, the decimal -0.4¯ provided in question

02

Step 2. Calculation 

Let x=-0×4¯

x=-0·4444..... …… (1)

Clearly, 4 is the only digit which is repeating in equation (1)

Multiply equation (1) by 10 on both sides,

10x=-4·4444..... …… (2)

Subtract equation (1) from equation (2),

10x−x=(−4⋅4444...)−(−0⋅4444...)9x=−4x=−49

Thus, the fraction number that can be formed is -49.

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