^{17}/_{51}=^{(17 : 17)}/_{(51 : 17)}=^{ 1}/_{3 }^{15}/_{6}=^{(15 : 3)}/_{(6 : 3)}=^{5}/_{2};

5 > 2 => improper fraction

Rewrite:

5 : 2 = 2 and remainder = 1 =>

^{5}/_{2}=^{(2 * 2 + 1)}/_{2}= 2 +^{1}/_{2}=

= 2^{1}/_{2}, mixed number (mixed fraction)^{12}/_{10}=^{(12 : 2)}/_{(10 : 2)}=^{6}/_{5};

6 > 5 => improper fraction

Rewrite:

6 : 5 = 1 and remainder = 1 =>

^{6}/_{5}=^{(1 * 5 + 1)}/_{5}= 1 +^{1}/_{5}=

= 1^{1}/_{5}, mixed number (mixed fraction)^{10}/_{14}=^{(10 : 2)}/_{(14 : 2)}=^{ 5}/_{7 }^{6}/_{5}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers

6 > 5 => improper fraction

Rewrite:

6 : 5 = 1 and remainder = 1 =>

^{6}/_{5}=^{(1 * 5 + 1)}/_{5}= 1 +^{1}/_{5}=

= 1^{1}/_{5}, mixed number (mixed fraction)^{52}/_{65}=^{(52 : 13)}/_{(65 : 13)}=^{ 4}/_{5 }^{10}/_{35}=^{(10 : 5)}/_{(35 : 5)}=^{ 2}/_{7 }^{50}/_{75}=^{(50 : 25)}/_{(75 : 25)}=^{ 2}/_{3 }^{60}/_{90}=^{(60 : 30)}/_{(90 : 30)}=^{ 2}/_{3 }^{20}/_{60}=^{(20 : 20)}/_{(60 : 20)}=^{ 1}/_{3 }^{2}/_{20}=^{(2 : 2)}/_{(20 : 2)}=^{ 1}/_{10 }^{24}/_{48}=^{(24 : 24)}/_{(48 : 24)}=^{ 1}/_{2 }^{180}/_{270}=^{(180 : 90)}/_{(270 : 90)}=^{ 2}/_{3 }^{30}/_{60}=^{(30 : 30)}/_{(60 : 30)}=^{ 1}/_{2 }^{20}/_{32}=^{(20 : 4)}/_{(32 : 4)}=^{ 5}/_{8 }^{9}/_{21}=^{(9 : 3)}/_{(21 : 3)}=^{ 3}/_{7 }^{12}/_{27}=^{(12 : 3)}/_{(27 : 3)}=^{ 4}/_{9 }^{16}/_{81}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers^{2}/_{2}=^{(2 : 2)}/_{(2 : 2)}= 1^{7}/_{3}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers

7 > 3 => improper fraction

Rewrite:

7 : 3 = 2 and remainder = 1 =>

^{7}/_{3}=^{(2 * 3 + 1)}/_{3}= 2 +^{1}/_{3}=

= 2^{1}/_{3}, mixed number (mixed fraction)^{14}/_{28}=^{(14 : 14)}/_{(28 : 14)}=^{ 1}/_{2 }^{13}/_{10}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers

13 > 10 => improper fraction

Rewrite:

13 : 10 = 1 and remainder = 3 =>

^{13}/_{10}=^{(1 * 10 + 3)}/_{10}= 1 +^{3}/_{10}=

= 1^{3}/_{10}, mixed number (mixed fraction)^{16}/_{12}=^{(16 : 4)}/_{(12 : 4)}=^{4}/_{3};

4 > 3 => improper fraction

Rewrite:

4 : 3 = 1 and remainder = 1 =>

^{4}/_{3}=^{(1 * 3 + 1)}/_{3}= 1 +^{1}/_{3}=

= 1^{1}/_{3}, mixed number (mixed fraction)^{14}/_{42}=^{(14 : 14)}/_{(42 : 14)}=^{ 1}/_{3 }^{8}/_{5}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers

8 > 5 => improper fraction

Rewrite:

8 : 5 = 1 and remainder = 3 =>

^{8}/_{5}=^{(1 * 5 + 3)}/_{5}= 1 +^{3}/_{5}=

= 1^{3}/_{5}, mixed number (mixed fraction)^{16}/_{48}=^{(16 : 16)}/_{(48 : 16)}=^{ 1}/_{3 }^{30}/_{36}=^{(30 : 6)}/_{(36 : 6)}=^{ 5}/_{6 }^{6}/_{35}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers^{18}/_{25}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers^{8}/_{6}=^{(8 : 2)}/_{(6 : 2)}=^{4}/_{3};

4 > 3 => improper fraction

Rewrite:

4 : 3 = 1 and remainder = 1 =>

^{4}/_{3}=^{(1 * 3 + 1)}/_{3}= 1 +^{1}/_{3}=

= 1^{1}/_{3}, mixed number (mixed fraction)^{11}/_{20}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers^{11}/_{10}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers

11 > 10 => improper fraction

Rewrite:

11 : 10 = 1 and remainder = 1 =>

^{11}/_{10}=^{(1 * 10 + 1)}/_{10}= 1 +^{1}/_{10}=

= 1^{1}/_{10}, mixed number (mixed fraction)^{9}/_{5}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers

9 > 5 => improper fraction

Rewrite:

9 : 5 = 1 and remainder = 4 =>

^{9}/_{5}=^{(1 * 5 + 4)}/_{5}= 1 +^{4}/_{5}=

= 1^{4}/_{5}, mixed number (mixed fraction)^{120}/_{150}=^{(120 : 30)}/_{(150 : 30)}=^{ 4}/_{5 }^{2}/_{24}=^{(2 : 2)}/_{(24 : 2)}=^{ 1}/_{12 }^{25}/_{75}=^{(25 : 25)}/_{(75 : 25)}=^{ 1}/_{3 }^{21}/_{36}=^{(21 : 3)}/_{(36 : 3)}=^{ 7}/_{12 }^{6}/_{21}=^{(6 : 3)}/_{(21 : 3)}=^{ 2}/_{7 }^{20}/_{36}=^{(20 : 4)}/_{(36 : 4)}=^{ 5}/_{9 }^{4}/_{25}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers^{7}/_{4}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers

7 > 4 => improper fraction

Rewrite:

7 : 4 = 1 and remainder = 3 =>

^{7}/_{4}=^{(1 * 4 + 3)}/_{4}= 1 +^{3}/_{4}=

= 1^{3}/_{4}, mixed number (mixed fraction)^{21}/_{56}=^{(21 : 7)}/_{(56 : 7)}=^{ 3}/_{8 }^{10}/_{40}=^{(10 : 10)}/_{(40 : 10)}=^{ 1}/_{4 }^{16}/_{3}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers

16 > 3 => improper fraction

Rewrite:

16 : 3 = 5 and remainder = 1 =>

^{16}/_{3}=^{(5 * 3 + 1)}/_{3}= 5 +^{1}/_{3}=

= 5^{1}/_{3}, mixed number (mixed fraction)^{7}/_{15}is already reduced (simplified) to lowest terms, numerator and denominator are coprime numbers^{60}/_{72}=^{(60 : 12)}/_{(72 : 12)}=^{ 5}/_{6 }^{3}/_{36}=^{(3 : 3)}/_{(36 : 3)}=^{ 1}/_{12 }^{15}/_{9}=^{(15 : 3)}/_{(9 : 3)}=^{5}/_{3};

5 > 3 => improper fraction

Rewrite:

5 : 3 = 1 and remainder = 2 =>

^{5}/_{3}=^{(1 * 3 + 2)}/_{3}= 1 +^{2}/_{3}=

= 1^{2}/_{3}, mixed number (mixed fraction)^{4}/_{2}=^{(4 : 2)}/_{(2 : 2)}= 2^{16}/_{30}=^{(16 : 2)}/_{(30 : 2)}=^{ 8}/_{15 }