Question

How is 4 3/11 written as a decimal

Answer 1

any fraction say a/b, can be written as a decimal by simply getting the quotient from a ÷ b.

now, let's first convert the mixed fraction to an "improper" one, and then do the division.

`\bf \stackrel{mixed}{4(3)/(11)}\implies \cfrac{4\cdot 11+3}{11}\implies \stackrel{improper}{\cfrac{47}{11}}\qquad \stackrel{\textit{to a decimal}}{47 / 11}\implies 4.\overline{27}`

the bar on the 27 simply means it endlessly repeating, 272727272727.....

Answer 2

3/11 =
`0. \overline {27}`

4 3/11 in decimal form:
`4. \overline {27}`