Evaluate the expression shown below and write your answer as a fraction in simplest form: 4/5 - 3/10
To subtract fractions, we need a common denominator. The lowest common denominator for 5 and 10 is 10. We can rewrite the fractions as follows:
4/5 = 8/10 (multiply numerator and denominator by 2)
3/10 (already in terms of the common denominator)
Now, we can subtract the fractions:
8/10 - 3/10 = (8 - 3)/10 = 5/10
However, we can simplify this fraction further by dividing both the numerator and the denominator by their greatest common divisor. In this case, the greatest common divisor of 5 and 10 is 5. Dividing both by 5 gives us:
5/10 = 1/2
The expression 4/5 - 3/10 simplifies to 1/2.