Question

How is 4 3/11 written as a decimal

Answer 1

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

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

Answer 2

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.

$\bf \stackrel{mixed}{4\frac{3}{11}}\implies \cfrac{4\cdot 11+3}{11}\implies \stackrel{improper}{\cfrac{47}{11}}\qquad \stackrel{\textit{to a decimal}}{47 \div 11}\implies 4.\overline{27}$

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