Solve the Fraction Subtraction: 6/10 - 1/3 Step by Step

To solve $\frac{6}{10} - \frac{1}{3}$, we need to perform the following steps:

• Step 1: Identify a common denominator. The denominators 10 and 3 have a least common multiple of 30. We will use 30 as the common denominator.
• Step 2: Convert the fractions to have the common denominator of 30.
  $\frac{6}{10}$ needs to be converted by multiplying both the numerator and the denominator by 3: $\frac{6 \times 3}{10 \times 3} = \frac{18}{30}$ $\frac{1}{3}$ needs to be converted by multiplying both the numerator and the denominator by 10: $\frac{1 \times 10}{3 \times 10} = \frac{10}{30}$
• Step 3: Subtract the new fractions: $\frac{18}{30} - \frac{10}{30} = \frac{18 - 10}{30} = \frac{8}{30}$
• Step 4: Simplify the fraction $\frac{8}{30}$.
  Divide both the numerator and the denominator by their greatest common divisor, which is 2: $\frac{8 \div 2}{30 \div 2} = \frac{4}{15}$

Therefore, the result of the subtraction is $\frac{4}{15}$.