Question

Subtract the following fractions: (6/8) - (2/10).

Express your answer as a reduced fraction or mixed number, if applicable.

Answer 1

To subtract fractions, find the common denominator, convert the fractions, subtract the numerators, and simplify.

Step-by-step explanation:

To subtract fractions, we need to have a common denominator. In this case, the common denominator is 40. So, we need to convert both fractions to have a denominator of 40.

The first fraction, 6/8, can be converted to 30/40 by multiplying the numerator and denominator by 5.

The second fraction, 2/10, can be converted to 8/40 by multiplying the numerator and denominator by 4.

Now that both fractions have a common denominator of 40, we can subtract them by subtracting the numerators.

The result is: (6/8) - (2/10) = (30/40) - (8/40) = 22/40.

To reduce the fraction to its simplest form, we can divide both the numerator and denominator by their greatest common divisor, which is 2.

So the final answer is 11/20.