Solve quad1/4,31/4,43/4,51/4,7frac{1}{2}

$$\quad \frac { 1 } { 4 } , 3 \frac { 1 } { 4 } , 4 \frac { 3 } { 4 } , 5 \frac { 1 } { 4 } , 7 \frac { 1 } { 2 }$$

Sort

$$\frac{1}{4},\frac{13}{4},\frac{19}{4},\frac{21}{4},\frac{15}{2}$$

Solution Steps

Multiply 3 and 4 to get 12.

$$sort(\frac{1}{4},\frac{12+1}{4},\frac{4\times 4+3}{4},\frac{5\times 4+1}{4},\frac{7\times 2+1}{2})$$

Add 12 and 1 to get 13.

$$sort(\frac{1}{4},\frac{13}{4},\frac{4\times 4+3}{4},\frac{5\times 4+1}{4},\frac{7\times 2+1}{2})$$

Multiply 4 and 4 to get 16.

$$sort(\frac{1}{4},\frac{13}{4},\frac{16+3}{4},\frac{5\times 4+1}{4},\frac{7\times 2+1}{2})$$

Add 16 and 3 to get 19.

$$sort(\frac{1}{4},\frac{13}{4},\frac{19}{4},\frac{5\times 4+1}{4},\frac{7\times 2+1}{2})$$

Multiply 5 and 4 to get 20.

$$sort(\frac{1}{4},\frac{13}{4},\frac{19}{4},\frac{20+1}{4},\frac{7\times 2+1}{2})$$

Add 20 and 1 to get 21.

$$sort(\frac{1}{4},\frac{13}{4},\frac{19}{4},\frac{21}{4},\frac{7\times 2+1}{2})$$

Multiply 7 and 2 to get 14.

$$sort(\frac{1}{4},\frac{13}{4},\frac{19}{4},\frac{21}{4},\frac{14+1}{2})$$

Add 14 and 1 to get 15.

$$sort(\frac{1}{4},\frac{13}{4},\frac{19}{4},\frac{21}{4},\frac{15}{2})$$

Least common denominator of the numbers in the list \frac{1}{4},\frac{13}{4},\frac{19}{4},\frac{21}{4},\frac{15}{2} is 4. Convert numbers in the list to fractions with denominator 4.

$$\frac{1}{4},\frac{13}{4},\frac{19}{4},\frac{21}{4},\frac{30}{4}$$

Evaluate

$$\frac{1}{4},\frac{13}{4},\frac{19}{4},\frac{21}{4},\frac{15}{2}$$