How do you write 77 over 200 as a decimal?

Answer 1

77/200 will not cancel down to lower fractions.

As a fraction it means ''77' divided by '200'

To do this we write

200)77.0000

Note the decimal point and the 'string' of zeroes.

We say 200 divided into 77 won't go. So zero(0) in the answer and carry the decimal point into the answer.

Hence 200)770.00000 = 0.

We now say 200 divided into 770 goes 3 times (600) and a remainder of 170.

So it becomes

200)770.00000 = (0.3...

We now add the remainder to the next decimal zero , so it reads 1700.

We say 200 divided into 1700 goes 8 times (1600) and a remainder of 100.

Hence

200)7700.0000.. =(0.38...

We now add the remainder to the next decimal zero , so it reads 1000.

We say 200 divided into 1000 goes 5 times (1000) and NO remainder.

Hence

200)7700.0 = (0.385

Since there is no remainder to division is complete, and the answer is 77/200 = 0.385

NB Use this system to convert fractions to decimals.

NNB Be careful, some fractions / decimals such as 1/3 = 0.333.... go to infinity, that is they never complete.

NNNB Be more careful again . Some fractions/decimals go to infinity and there is no regularity in the numbers. This is known as an IRRATIONAL number. The most famous irrational number is pi = 3.141592.....

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Answer 2

77/200 = 77 ÷ 200 = 0.385

Answer 3

It is 0.385