Diya and Cleo both write the decimal 2.15 as a fraction. Diya's fraction: 97/45 Cleo's fraction:97/5. Which student wrote the correct fraction?

Question

the 5 on 2.15 is repeating

Answer 1

97/45=2 7/45=2.1555... (and 97/5=19.4)

 

or,...

2.1555...

(10*2.1555...)/10

21.555...)/10

(21 5/9)/10

(194/9)/10

194/90

97/45

 

or,...

x=2.1555...

10x=21.555...

subtract first equation from second equation

9x=19.4

x=19.4/9

x=194/90

x=97/45