Question

Order these from greatest to least
7 7/8, 7.5, 7.8, 7 3/4

Answer 1

The numbers are ordered from greatest to least is:

`7(7)/(8) >7.8 > 7(3)/(4) > 7.5`

Solution:

Given numbers are:

`7(7)/(8) , 7.5, 7.8, 7(3)/(4)`

We have to order them from greatest to least

Let us first convert the mixed fractions number to decimals

Mixed fractions to fractions:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Therefore,

`7(7)/(8) = (8 * 7 + 7)/(8) = (63)/(8) = 7.875`

Similarly,

`7(3)/(4) = (4 * 7 + 3)/(4) = (31)/(4) = 7.75`

Now the given numbers are:

7.875, 7.5, 7.8, 7.75

Arrange them from greatest to smallest

7.875 > 7.8 > 7.75 > 7.5

Thus the order is:

`7(7)/(8) > 7.8 > 7(3)/(4) > 7.5`

Thus the numbers are ordered from greatest to least