Question

What is 1735/1000 written as a decimal?

Answer 1

`(1735)/(1000)` as a decimal is 1.735.

Explanation:

To convert a fraction into a decimal, you first have to put the fraction into simplest form.

1. Simplest form

`(1735)/(1000) = (347)/(200)\\\`

To do this you must find a number you can equally divide both numbers by.

That number in this situation, 5.

`1000/5= 200\\1735/5= 347\\1735:1000 = 347:200\\(1735)/(1000) =(347)/(200)`

Now you must make this simplest formed fraction into a mixed number.

2. Simplest form into Mixed number

`(347)/(200)= 1(147)/(200)`

To do this you see how many times the denominator, the bottom number of the fraction, goes into the numerator, the upper part of the fraction.

Since 200 x 2 = 400 and since 400 > 347 this means...

200 goes into 347, once.

Finally, subtract and divide.

Remember put the whole number in front of the mixed number, before the decimal

3. Subtract, divide, decimalize

`147/200= 0.735\\\\1(147)/(200)= 1.735`

Hopes this helps you!

Have a good afternoon!