Answer :
The numbers are ordered from greatest to least is:
[tex]7\frac{7}{8} >7.8 > 7\frac{3}{4} > 7.5[/tex]
Solution:
Given numbers are:
[tex]7\frac{7}{8} , 7.5, 7.8, 7\frac{3}{4}[/tex]
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,
[tex]7\frac{7}{8} = \frac{8 \times 7 + 7}{8} = \frac{63}{8} = 7.875[/tex]
Similarly,
[tex]7\frac{3}{4} = \frac{4 \times 7 + 3}{4} = \frac{31}{4} = 7.75[/tex]
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:
[tex]7\frac{7}{8} > 7.8 > 7\frac{3}{4} > 7.5[/tex]
Thus the numbers are ordered from greatest to least