Solve the Fraction Subtraction: 1/3 minus 1/6 Step by Step

Question

Solve the following exercise:

1316=? \frac{1}{3}-\frac{1}{6}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply by 2 to find the common denominator
00:06 Make sure to multiply both numerator and denominator
00:14 Calculate the products
00:19 Subtract with the common denominator
00:26 Calculate the numerator
00:30 And this is the solution to the question

Step-by-Step Solution

To solve this fraction subtraction problem, we need to follow these steps:

  • Step 1: Identify and adjust the fractions to have a common denominator. The given problem is 1316\frac{1}{3} - \frac{1}{6}.
  • Step 2: Find a common denominator. Since 6 is a multiple of 3, we can use 6 as the common denominator.
  • Step 3: Adjust 13\frac{1}{3} to have a denominator of 6. Multiply both the numerator and denominator of 13\frac{1}{3} by 2 to get 26\frac{2}{6}.
  • Step 4: Subtract the fractions now having the same denominator: 2616\frac{2}{6} - \frac{1}{6}.
  • Step 5: Subtract the numerators: 21=12 - 1 = 1, keeping the denominator as 6, resulting in 16\frac{1}{6}.

Therefore, the solution to 1316\frac{1}{3} - \frac{1}{6} is 16\frac{1}{6}.

Answer

16 \frac{1}{6}