Question

2.4 written as a mixed number in simplest form

Answer 1

2.4 written as a fraction is 24/10

So how many times does 10 go in 24?

2 times

So
it has to be 2 whole and 4/10

2 4/10

SIMPLIFY THAT! :D

2 2/5

Understood? :)

Answer 2

\[2\frac{ 2 }{ 5 }\] and \[\frac{ 12 }{ 5 }\]

Write the decimal number as a fraction
(over 1)
2.4 = 2.4 / 1

Multiplying by 1 to eliminate 1 decimal places
we multiply top and bottom by 10. For ever number behind the decimal you'd add a zero to 10. In this case there's only one behind it so we multiply by 10. :)

Numerator (N)
N = 2.4 × 10 = 24
Denominator (D)
D = 1 × 10 = 10

N / D = 24 / 10
\[\frac{ 2.4 }{ 1}\times \frac{ 10 }{ 10}=\frac{ 24 }{ 10 }=\frac{ 12 }{ 5}\]
Hope I was of great help.
Cheers!