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Question

Express each terminating decimal as a quotient of integers. If possible, reduce to lowest terms. 0.4

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2To write a terminating decimal as a quotient of integers, write the digits to the right of the decimal point in the numerator and the position of the last digit to the right of the decimal point in the denominator.

Place 4 in the numerator. Since the last digit on the right, 4, is in the tenths position, the denominator is 10:

$0.4=\dfrac{4}{10}=\dfrac{4\div 2}{10\div 2}=\color{#c34632}\dfrac{2}{5}$

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