Question

4.3,5.5,6 1/6, 15/4, 4 3/8 greatest to least

Answer 1

Answer: 6 1/6 , 5.5, 4 3/8, 4.3, 3.75

Explanation:

4.3 , 5.5 , 36, 3.75, 4.375

Answer 2

`\bold6 (1)/(6)>5.5>4_(8)^(3)>4.3>(15)/(4)\bold`

Solution:

Step 1: First we will convert all the number in fraction form.

`4.3=(4.3 * 10)/(10)=(43)/(10)`

`5.5=(5.5 * 10)/(10)=(55)/(10)`

`6_(6)^(1)=(37)/(6)`

`(15)/(4)=(15)/(4)`

`4_(8)^(3)=(35)/(8)`

So, the new numbers are
`(43)/(10), (55)/(10), (37)/(6), (15)/(4), (35)/(8)`

Step 2: Now we take the L.C.M(Lowest common multiple) of the denominators.

`L.C.M of 10,10,6,4,8=120`

Step 3: We make the denominator equal.

`(43)/(10)=(43 *12)/(10*12)=(516)/(120)`

`(55)/(10)=(55 * 12)/(10 * 12)=(660)/(120)`

`(37)/(6)=(37 * 20)/(6 * 20)=(740)/(120)`

`(15)/(4)=(15 * 30)/(4 * 30)=(450)/(120)`

`(35)/(8)=(35 * 15)/(8 * 15)=(525)/(120)`

Step 4: Since denominators are equal we can arrange the numbers from greatest to least by arranging the numerators from greatest to least.

`740>660>525>516>450`

Now arranging the real number ,

`(37)/(6)>(55)/(10)>(35)/(8)>(43)/(10)>(15)/(4)`

`=6 (1)/(6)>5.5>4_(8)^(3)>4.3>(15)/(4)`