Decimals to Fractions 2

2.4 as a fraction
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so now I want to go over some more examples on changing decimals into fractions in our first example we have 0.3 and the important thing that you have to look at is your last digit all the way to the right notice our last digit all the way to the right is our 3 notice that is one unit to the right of the decimal and in this example that I wrote for you on the bottom left part of her screen notice how one digit to the right of the decimal is your tenths unit so we know this 3 which is 1 unit to the right of the decimal is also our tens unit and we know since our last digit is the tenths unit that our fraction is also going to be out of ten in how many tens do we have
The Voltreport 2-4-as-a-fraction-0 Decimals to Fractions 2
we have three tens and you always need to simplify or reduce the fraction as much as possible this fraction is already in lowest terms so this is our final answer moving on to our next example here we have 0.025 once again the important thing you have to look at is the last digit to the right of the decimal and notice our last digit to the right is a 5 and also notice how it is 3 units to the right of the point and from this example I wrote for you on the bottom left part of the screen the third unit to the right of the decimal is your thousandth unit so our last digit in this example the 5 is in the thousandths unit and since the last digit is in the thousands 2 unit we know that our fraction is
The Voltreport 2-4-as-a-fraction-1 Decimals to Fractions 2
going to be out of a thousand and how many thousands do we have we have 25 thousands so in the numerator Im going to put 25 and we always say this by the fraction as much as possible notice how the numerator and the denominator can both be divided by 25 evenly so Im going to divide both the top and bottom by 25 and after we simplify the fraction in the numerator we have 25 divided by 25 which is just 1 and in the denominator we have a thousand divided by 25 you might need to use your calculator but a thousand divided by 25 is 40 so the decimal point 0 2 5 as a fraction is 1 over 40 so now lets move on to our last example here we have 1.75 and notice how we have a whole number of
The Voltreport 2-4-as-a-fraction-10 Decimals to Fractions 2
1 plus the decimal of 0.75 so Im going to separate this and Im going to write the whole number of 1 plus the decimal of 0.75 but instead of writing it as a decimal we need to write it as a fraction so lets take a look at our last digit all the way to the right of our decimal our last digit is the 5 which is 2 units to the right of the decimal going back to the example on the bottom of the part of the screen our second unit to the right of the decimal is our hundredths unit so now we know that our 5 which is also two units to the right of our decimal is also in the hundredths unit and since our last digit is in the hundreds unit we know that our fraction is also going
The Voltreport 2-4-as-a-fraction-11 Decimals to Fractions 2
of 100 and how many hundredths do we have we have 75 hundredths so in the numerator Im going to put 75 once again we always need to simplify the fraction as much as possible the 75 and 100 can both be divided by 25 evenly so Im going to divide the top and bottom by 25 and if we simplify everything we still have our whole number of 1 and in our fraction we have 75 divided by 25 in our numerator which is 3 and we have a / 25 in our denominator which is 4 so the decimal 1.75 written as a fraction is 1 and 3/4 so here are some more videos with more example problems related to the video you just watched I really hope you are finding my tutorials helpful so until my next video I will see you later you
The Voltreport 2-4-as-a-fraction-12 Decimals to Fractions 2
tags:
decimal fraction, Fractions, decimals, percent, MathMeeting
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