Write each decimal as a fraction of mixed number in simplest form. 1.0.675 2.0.44
Mathematics · Middle School · Thu Feb 04 2021
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In order to write a decimal into a fraction, we must first determine the least place value of the decimal, then we treat the decimal as a whole number, divided by the place value of the decimal, 10 for tenths, 100 for hundredths, 1000 for thousandths and so on.
For decimals, the number places starts with; tenths, hundredths, thousandths, ten thousandths, hundred thousandths, and so on.
1.) 0.675
Since 0.675 has a place value of thousandths, we divide the number by 1000.
= 675/1000
Factor out 25 from the fraction in order to determine its lowest form.
= 27/40
2.) 0.44
0.44 has a place value of hundredths, therefore we will divide the number by 100.
= 44/100
Factor out 4 in order to determine the lowest term.
= 11 / 25