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# Rewriting fractions as decimals

## Video transcript

let's ride twenty nine hundredths as a decimal so we'll start with 29 over a hundred and let's start breaking that down until we can get to place values because place values will help us to convert to write this as a decimal 2900 sui can break that down into 20 hundredths plus 9 hundredths 20 hundredths plus 9 more hundredths is equal to 29 hundredths so we've just broken it down some here it's still equivalent to twenty nine hundredths we're just taking it apart trying to get to place values going from there we can simplify even more 20 hundredths can be simplified we could divide 20 and 100 by 10 so we'll say two tenths plus nine hundredths and now if you can hear the tenths hundredths these are place values we should recognize from decimals so what we've shown here is that 29 hundredths is equal to two tenths plus nine hundredths here we have two tenths which matches two tenths and nine hundredths like our nine hundredths right there and so we can take those and think about place value if we have our decimal let's first put our decimal over here to the left of the decimals our ones place value we don't have any ones here so we'll put a zero zero ones but the next is tenth then we have our tents and we have two tenths and after tens the place value after tenths is hundredths and here we see we have nine hundredths so we'll put a nine in the hundredths place and so down here zero point two nine or twenty nine hundredths is equivalent to the fraction twenty nine hundredths and just listen to how those are said it's kind of a clue that we did well nine hundredths is equivalent to twenty nine hundredths both the fraction and the decimal are read the same way so that's a pretty good clue that we probably rewrote these correctly so zero point two nine is equal to twenty nine hundredths let's try one more let's try something let's say maybe 50 maybe fifty three tenths so again we're going to break this down we'll have 50 tenths plus how many more tents are left there's still three more tenths and again we can simplify we can simplify this 50 tenths can be divided by ten so instead of 50 tenths we'll say five ones plus we still have those three tenths and now we've got this to place value five ones is five ones plus here three tenths is three tenths so thinking let's put our decimal over here to the left of the decimals our ones and we have five ones and to the right of the decimal is tenths and we have three tenths so five point three or five and three tenths is equal to 53 tends to write fifty three tenths as a decimal we will get five point three because it was five ones and three tenths which we showed right here five and three tenths