/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 40 Express each terminating decimal... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Express each terminating decimal as a quotient of integers. If possible, reduce to lowest terms. \(0.6\)

Short Answer

Expert verified
The terminating decimal \(0.6\) is \(\frac{3}{5}\) in its simplest form.

Step by step solution

01

Express Decimal as a Fraction

Firstly, one should express \(0.6\) as a fraction of integers. By definition, \(0.6\) is same as \(\frac{6}{10}\).
02

Simplify the Fraction

Subsequently, simplify this fraction to its lowest terms by dividing the numerator and the denominator with their greatest common divisor (the GCD of 6 and 10 is 2). This leads to \(\frac{6}{10} = \frac{6 \div 2}{10 \div 2}\).
03

Perform the Division

After dividing, the fraction becomes \(\frac{3}{5}\). Finally, the terminating decimal \(0.6\) is expressed as \(\frac{3}{5}\) when reduced to its lowest terms.

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