Mr Daniels Maths
Recurrings Decimals to fractions

Set 1

Set 2

Set 3

Q1) Write \(\frac{38}{99}\) as a recurring decimal. [ \( 0. \dot3\dot8\)]

Q1) Convert \( 0. \dot1\dot3\) to a fraction. [ \(\frac{13}{99}\)]

Q1) Convert \( 5. \dot25\dot9\) to a fraction. [ 5\(\frac{7}{27}\)]

Q2) Write \(\frac{40}{99}\) as a recurring decimal. [ \( 0. \dot4\dot0\)]

Q2) Convert \( 0. \dot1\dot0\) to a fraction. [ \(\frac{10}{99}\)]

Q2) Convert \( 3. \dot94\dot5\) to a fraction. [ 3\(\frac{35}{37}\)]

Q3) Write \(\frac{31}{99}\) as a recurring decimal. [ \( 0. \dot3\dot1\)]

Q3) Convert \( 0. \dot1\dot8\) to a fraction. [ \(\frac{2}{11}\)]

Q3) Convert \( 3. \dot85\dot1\) to a fraction. [ 3\(\frac{23}{27}\)]

Q4) Write \(\frac{16}{99}\) as a recurring decimal. [ \( 0. \dot1\dot6\)]

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

Q4) Convert \( 4. \dot94\dot5\) to a fraction. [ 4\(\frac{35}{37}\)]

Q5) Write \(\frac{23}{99}\) as a recurring decimal. [ \( 0. \dot2\dot3\)]

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

Q5) Convert \( 5. \dot24\dot3\) to a fraction. [ 5\(\frac{9}{37}\)]

Q6) Write \(\frac{17}{99}\) as a recurring decimal. [ \( 0. \dot1\dot7\)]

Q6) Convert \( 0. \dot1\dot6\) to a fraction. [ \(\frac{16}{99}\)]

Q6) Convert \( 2. \dot64\dot8\) to a fraction. [ 2\(\frac{24}{37}\)]

Q7) Write \(\frac{8}{33}\) as a recurring decimal. [ \( 0. \dot2\dot4\)]

Q7) Convert \( 0. \dot1\dot2\) to a fraction. [ \(\frac{4}{33}\)]

Q7) Convert \( 5. \dot37\dot0\) to a fraction. [ 5\(\frac{10}{27}\)]

Q8) Write \(\frac{37}{99}\) as a recurring decimal. [ \( 0. \dot3\dot7\)]

Q8) Convert \( 0. \dot1\dot9\) to a fraction. [ \(\frac{19}{99}\)]

Q8) Convert \( 3. \dot29\dot7\) to a fraction. [ 3\(\frac{11}{37}\)]

Q9) Write \(\frac{4}{11}\) as a recurring decimal. [ \( 0. \dot3\dot6\)]

Q9) Convert \( 0. \dot1\dot4\) to a fraction. [ \(\frac{14}{99}\)]

Q9) Convert \( 3. \dot72\dot9\) to a fraction. [ 3\(\frac{27}{37}\)]

Q10) Write \(\frac{7}{33}\) as a recurring decimal. [ \( 0. \dot2\dot1\)]

Q10) Convert \( 0. \dot1\dot7\) to a fraction. [ \(\frac{17}{99}\)]

Q10) Convert \( 3. \dot78\dot3\) to a fraction. [ 3\(\frac{29}{37}\)]