Question

Lionel, Jill and Grace are all reading the same book. Lionel has read 31.5% of the book. Jill has read \binom{1}{3}( 3 1 ​ ) of the book. Grace has read \binom{3}{8}( 8 3 ​ ) of the book. Which list shows the numbers in order from greatest to least?

Answer 1

Grace, Jill, Lionel

Explanation:

Lionel, Jill and Grace are all reading the same book. Which list shows the numbers in order from greatest to least?

The first step is to convert to decimal numbers

For Lionel

Lionel has read 31.5% of the book.

= 31.5% = 31.5/100 = 0.315

For Jill

Jill has read 1/3 of the book.

= 1/3 = 0.33333333333

= 0.333

For Grace

Grace has read 3/8 of the book.

= 3/8 = 0.375

The, list shows the numbers in order from greatest to least

= Grace, Jill, Lionel

Where Grace is the greatest and Lionel is the least.