Solve 1610/210,189/4075/210

$$\frac { 1610 } { 210 } , \frac { 189 } { 40 } \frac { 75 } { 210 }$$

Sort

$$\frac{27}{16},\frac{23}{3}$$

Solution Steps

Reduce the fraction \frac{1610}{210} to lowest terms by extracting and canceling out 70.

$$sort(\frac{23}{3},\frac{189}{40}\times \frac{75}{210})$$

Reduce the fraction \frac{75}{210} to lowest terms by extracting and canceling out 15.

$$sort(\frac{23}{3},\frac{189}{40}\times \frac{5}{14})$$

Multiply \frac{189}{40} times \frac{5}{14} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{23}{3},\frac{189\times 5}{40\times 14})$$

Do the multiplications in the fraction \frac{189\times 5}{40\times 14}.

$$sort(\frac{23}{3},\frac{945}{560})$$

Reduce the fraction \frac{945}{560} to lowest terms by extracting and canceling out 35.

$$sort(\frac{23}{3},\frac{27}{16})$$

Least common denominator of the numbers in the list \frac{23}{3},\frac{27}{16} is 48. Convert numbers in the list to fractions with denominator 48.

$$\frac{368}{48},\frac{81}{48}$$

To sort the list, start from a single element \frac{368}{48}.

$$\frac{368}{48}$$

Insert \frac{81}{48} to the appropriate location in the new list.

$$\frac{81}{48},\frac{368}{48}$$

Replace the obtained fractions with the initial values.

$$\frac{27}{16},\frac{23}{3}$$

Evaluate

$$\frac{23}{3},\frac{27}{16}$$