what is 5/7, 1/5, 2/5, 4/9, and 3/8 in order from greatest to least?

what is 5/7, 1/5, 2/5, 4/9, and 3/8 in order from greatest to least?

First we Need to equal all the q of these fractions or values.

common denominator of 5,7,8,9 (q of these fractions)

5`\times`7`\times`8`\times`9 = 2520, Then We have

= `5/7` = `\frac{5 \times 360}{7 \times 360}` = `1800/2520` (Multiply both p/q with 360 to equal it's q)

= `1/5` = `\frac{1 \times 504}{7 \times 504}` = `504/2520` (Multiply both p/q with 504 to equal it's q)

= `2/5` = `\frac{2 \times 504}{7 \times 504}` = `1008/2520` (Multiply both p/q with 360 to equal it's q)

= `4/9` = `\frac{4 \times 280}{9 \times 280}` = `1220/2520` (Multiply both p/q with 280 to equal it's q)

= `3/8` = `\frac{3 \times 315}{8 \times 315}` = `945/2520` (Multiply both p/q with 315 to equal it's q)

Now, order these numbers from greatest to least = `1800/2520`, `1220/2520`, `1008/2520`, `945/2520`, `504/2520`

Now, order these numbers from greatest to least with their real values = `5/7`, `4/9`, `2/7`, `3/8`, `1/5`