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=\frac{9}{2}$$2.7=\frac{27}{10}$

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

$\frac{9}{2}\div\frac{27}{10}$

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

$\frac{9}{2}\cdot\frac{10}{27}=\frac{9\cdot10}{2\cdot27}=\frac{90}{54}$

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:

$\frac{90\div18}{54\div18}=\frac{5}{3}$

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

$\frac{5}{3}$