How to convert decimals 0.6 to fraction and show the work?

Using the place value chart, we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction 6 out of 10 or .

Notice however that the fraction is not in lowest terms. So, we need to divide the numerator and the denominator by the greatest common factor of 6 and 10, which is 2.

Therefore, 0.6 can be written as the fraction , which is in lowest terms.

Image provided.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.