Answer: [tex]3/10[/tex]
Step-by-step explanation:
[tex](\frac{3}{5}): (\frac{4}{2}) = \frac{3}{10} = 0.3[/tex]
Divide: 3/5 : 4/2 = 3/5 · 2/4 = 3 · 2/5 · 4 = 6/20 = 2 · 3/2 · 10 = 3/10
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of [tex]\frac{4}{2}[/tex] is [tex]\frac{2}{4}[/tex]) of the second fraction.
Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 2 gives 3/10.
In other words - three-fifths divided by four halves = three tenths.
[tex]3/10=0.3[/tex]
[tex]3/40=0.07500[/tex]
[tex]Divide[/tex] [tex]3/40 ~ by ~ 2[/tex] [tex]=0.3[/tex]
