Answer: [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
First, we need to find the common denominator
The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.
2 × 5 = 10
So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:
[tex]\frac{3*2}{5*2}[/tex] = [tex]\frac{6}{10}[/tex] We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.
Do the same thing for the other one:
[tex]\frac{1*5}{2*5}[/tex] = [tex]\frac{5}{10}[/tex]
Finally, subtract the two fractions to find the difference between the two times:
[tex]\frac{6}{10} -\frac{5}{10}[/tex] = [tex]\frac{1}{10}[/tex]
The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.
