How do you change three fourths into a decimal?

Answer 1

3/4 = 0.75

'3/4' means three divided by four.

Set up a division bracket

4)3.00000 Notice the string of zeroes after the decimal point.

We say four divided into three won't go. So we write 'zero point' in the answer .

4)3.0000 = 0.

Ignoring the decimal point after the three, we read it as thirty. Then we say 'four into thirty goes seven ( 4 x 7 = 28) with a remainder of '2''.

So the answer becomes

4)3.0000 = 0.7

The remainder '2' is carried onto the second zero , to read twenty. We say 'four into twenty goes five ( 4 x 5 = 20) and no remainder

So the answer becomes

4)3.00000. = 0.75

Since there is no remainder , that is the answer.

To convert a decimal to a fraction we write

0.75 / 1.00 Notice it is over '1' and since there are two decimal digits we place in two 'zeroes'/

Cancel down the decimal points so it read . 75/100

Since both number end in '5' or '0' then cancel down by '5'

75/100 = 15/20

Cancel down by '5' again

15/20 = 3/4 Done !!!!! Hope that helps.

This system is good for any decimal/fraction conversion or vice versa.

However some fractions will give a recurring decimal and recurring decimals can be converted to fractions a different technique.

Only Irrational Numbers ( pi = 3.141592... etc., .) cannot be converted.

Answer 2

three fourths into a decimal = 0.75