Question

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.4.5 min : 2.7 min

Answer 1

To write the ratio as a fraction in the simplest form, the first step is to write both decimal values as fractions:

`4.5=(9)/(2)`
`2.7=(27)/(10)`

Next, divide the first value of the ratio by the second value:

`(9)/(2)/(27)/(10)`

To divide two fractions, you have to multiply the first fraction (dividend) by the reciprocal of the second fraction (divisor)

`(9)/(2)\cdot(10)/(27)=(9\cdot10)/(2\cdot27)=(90)/(54)`

Now you can simplify the fraction, 90 and 54 are multiples of 18. To simplify the fraction you have to divide the numerator and denominator by 18:

`(90/18)/(54/18)=(5)/(3)`

The ratio expressed as a fraction in its simplest form is:

`(5)/(3)`