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Current time:0:00Total duration:2:17

Worked example: Converting a fraction (7/8) to a decimal

CCSS.Math: ,

Video transcript

right 7/8 as a decimal and so the main realization here is that 7 over 8 is the same thing as 7 divided by 7 divided by 8 which is the same thing as 7 divided by 8 these are all the same way of different ways of writing the same thing so let's actually divide 8 into 7 and I'll do it down here just so I have some more real estate to work with I'm going to divide 8 into 7 and I'm going to add a decimal point here just because we know that this value is going to be less than 1 7/8 is less than 1 we're going to have we're going to have some digits beyond or to the right of the decimal point and let me put the decimal point right up here right above the decimal point in 7 and then we start dividing and now this really turns into a long division problem and we just have to make sure we keep track of the decimal sign so 8 goes into it doesn't go into 7 at all but it does go into 70 so 8 goes into 70 8 times 8 times so it goes into 70 it goes into 70 8 times 8 times 8 is 64 and then you subtract 70 minus 64 is 6 and then bring down another zero because we still have a remainder we want to get to the point that we have no remainders assuming this thing doesn't repeat forever and then there's other ways we can deal with that 8 goes into 60 well let's see 8 it doesn't go into it 8 times because that's 64 8 goes into 60 7 times 7 times 7 times 8 is 56 56 and then we subtract again 60-56 is 4 and now we can bring down another zero right over here and 8 goes into 40 well it goes into 40 exactly 5 times 5 times 8 is 40 and we have nothing we have nothing left over and so we're done 7 divided by 8 or 7 eighths is equal to 7 divided by 8 which is equal to 0.875 but I'll put a leading zero here just so it makes it clear that there's that this is where the decimal is 0.87 five and we are done