# Chapter 1 - Review - Page 101: 41

$\dfrac{9}{20}$

#### Work Step by Step

The given decimal is forty-six hundredths. Thus, to convert it to fraction, remove the decimal point and write $45$ as the numerator and write $100$ as its denominator. $0.45 = \dfrac{45}{100}$ Simplify the fraction by cancelling the common factor $5$ to obtain: $\require{cancel} =\dfrac{9(5)}{20(5)} \\=\dfrac{9\cancel{(5)}}{20\cancel{(5)}} \\=\dfrac{9}{20}$

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