To convert .45 to a rational number, we can simply write it as a fraction with 45 as the numerator and 100 as the denominator (since .45 is the same as 45/100):
.45 = 45/100
To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor (GCF). The factors of 45 are 1, 3, 5, 9, 15, and 45, while the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The largest factor that they share is 5.
Dividing both the numerator and denominator by 5, we get:
(45 ÷ 5) / (100 ÷ 5) = 9/20
Therefore, .45 as a rational number in simplest form is 9/20.
Convert .45 to a rational number in simplest form. show work
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1 answer