How do you write 4 1/3 as a decimal? Use bar notation if the decimal is a repeating decimal.

2 Answers
Dec 10, 2017

4.bar(3)

Explanation:

4(1/3)= 13/3

13/3= 4.bar3

Dec 10, 2017

4.bar33

Explanation:

There are a couple things you could do:

Example 1:
Change the mixed fraction to an improper fraction.

Multiply the denominator and whole number,

3 xx 4 = 12

Take that answer and add the numerator,

12 + 1 = 13

Now put that answer over the denominator,

13/3

Next step is to divide 3 into 13.

color(white)( (3)/color(black)(3)) color(white)( (color(black)(4.33)))/( ")" 13.00) ""
color(white)(xx)(12)/color(white)
color(white)(xxxii)1(0)-> bring down 0 (it becomes 10)color(white)
color(white)(xxxxi)9/ color(white)
color(white)(xxxxx)1 -> It will continue to repeat

Since 4.33 is a repeating decimal, you would write it with a bar.

4.bar33

Example 2:
Write 4 1/3 as an expression.

4 + 1/3

Divide 1/3 the same way as above,

color(white)( (1)/color(black)(3)) color(white)( (color(black)(0.33)))/( ") 1.00 ""

Now that you know 1/3 is 0.bar33, add the whole number from the fraction,

4 + 0.bar33 = 4.bar33

A third way, and probably the easiest way, is to use a calculator. However, if you need to show work use the examples above.