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:

$7\frac{7}{8} >7.8 > 7\frac{3}{4} > 7.5$

Solution:

Given numbers are:

$7\frac{7}{8} , 7.5, 7.8, 7\frac{3}{4}$

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,

$7\frac{7}{8} = \frac{8 \times 7 + 7}{8} = \frac{63}{8} = 7.875$

Similarly,

$7\frac{3}{4} = \frac{4 \times 7 + 3}{4} = \frac{31}{4} = 7.75$

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:

$7\frac{7}{8} > 7.8 > 7\frac{3}{4} > 7.5$

Thus the numbers are ordered from greatest to least