Solve 2/3,3/4,4/5,5/6divfrac{5}{80}

$$\frac { 2 } { 3 } , \frac { 3 } { 4 } , \frac { 4 } { 5 } , \frac { 5 } { 6 } \div \frac { 5 } { 80 }$$

Sort

$$\frac{2}{3},\frac{3}{4},\frac{4}{5},\frac{40}{3}$$

Solution Steps

Divide \frac{5}{6} by \frac{5}{80} by multiplying \frac{5}{6} by the reciprocal of \frac{5}{80}.

$$sort(\frac{2}{3},\frac{3}{4},\frac{4}{5},\frac{5\times 80}{6\times 5})$$

Cancel out 2\times 5 in both numerator and denominator.

$$sort(\frac{2}{3},\frac{3}{4},\frac{4}{5},\frac{40}{3})$$

Least common denominator of the numbers in the list \frac{2}{3},\frac{3}{4},\frac{4}{5},\frac{40}{3} is 60. Convert numbers in the list to fractions with denominator 60.

$$\frac{40}{60},\frac{45}{60},\frac{48}{60},\frac{800}{60}$$

Evaluate

$$\frac{2}{3},\frac{3}{4},\frac{4}{5},\frac{40}{3}$$