Mr Daniels Maths
Recurrings Decimals to fractions

Set 1

Set 2

Set 3

Q1) Write \(\frac{13}{33}\) as a recurring decimal. [ \( 0. \dot3\dot9\)]

Q1) Convert \( 0. \dot1\dot6\) to a fraction. [ \(\frac{16}{99}\)]

Q1) Convert \( 2. \dot24\dot3\) to a fraction. [ 2\(\frac{9}{37}\)]

Q2) Write \(\frac{31}{99}\) as a recurring decimal. [ \( 0. \dot3\dot1\)]

Q2) Convert \( 0. \dot1\dot4\) to a fraction. [ \(\frac{14}{99}\)]

Q2) Convert \( 5. \dot45\dot9\) to a fraction. [ 5\(\frac{17}{37}\)]

Q3) Write \(\frac{16}{99}\) as a recurring decimal. [ \( 0. \dot1\dot6\)]

Q3) Convert \( 0. \dot1\dot0\) to a fraction. [ \(\frac{10}{99}\)]

Q3) Convert \( 4. \dot75\dot6\) to a fraction. [ 4\(\frac{28}{37}\)]

Q4) Write \(\frac{2}{11}\) as a recurring decimal. [ \( 0. \dot1\dot8\)]

Q4) Convert \( 0. \dot1\dot5\) to a fraction. [ \(\frac{5}{33}\)]

Q4) Convert \( 3. \dot81\dot0\) to a fraction. [ 3\(\frac{30}{37}\)]

Q5) Write \(\frac{25}{99}\) as a recurring decimal. [ \( 0. \dot2\dot5\)]

Q5) Convert \( 0. \dot2\dot0\) to a fraction. [ \(\frac{20}{99}\)]

Q5) Convert \( 2. \dot83\dot7\) to a fraction. [ 2\(\frac{31}{37}\)]

Q6) Write \(\frac{13}{99}\) as a recurring decimal. [ \( 0. \dot1\dot3\)]

Q6) Convert \( 0. \dot1\dot7\) to a fraction. [ \(\frac{17}{99}\)]

Q6) Convert \( 4. \dot37\dot0\) to a fraction. [ 4\(\frac{10}{27}\)]

Q7) Write \(\frac{37}{99}\) as a recurring decimal. [ \( 0. \dot3\dot7\)]

Q7) Convert \( 0. \dot1\dot3\) to a fraction. [ \(\frac{13}{99}\)]

Q7) Convert \( 2. \dot59\dot4\) to a fraction. [ 2\(\frac{22}{37}\)]

Q8) Write \(\frac{14}{99}\) as a recurring decimal. [ \( 0. \dot1\dot4\)]

Q8) Convert \( 0. \dot1\dot2\) to a fraction. [ \(\frac{4}{33}\)]

Q8) Convert \( 2. \dot75\dot6\) to a fraction. [ 2\(\frac{28}{37}\)]

Q9) Write \(\frac{40}{99}\) as a recurring decimal. [ \( 0. \dot4\dot0\)]

Q9) Convert \( 0. \dot1\dot8\) to a fraction. [ \(\frac{2}{11}\)]

Q9) Convert \( 5. \dot40\dot7\) to a fraction. [ 5\(\frac{11}{27}\)]

Q10) Write \(\frac{4}{11}\) as a recurring decimal. [ \( 0. \dot3\dot6\)]

Q10) Convert \( 0. \dot1\dot9\) to a fraction. [ \(\frac{19}{99}\)]

Q10) Convert \( 5. \dot64\dot8\) to a fraction. [ 5\(\frac{24}{37}\)]