Solve the Fraction Equation: Finding the Missing Term in 2/3 - ? = 1/3

Question

Complete the missing fraction
23——=13 \frac{2}{3}-_{——}=\frac{1}{3}

What is the missing fraction?

Video Solution

Solution Steps

00:00 Find the unknown
00:03 If the denominator of the result equals the given denominator, then the denominator of the unknown is identical
00:08 Now we'll calculate the numerator of the unknown according to the numerators
00:16 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Identify the fractions involved: 23 \frac{2}{3} and 13 \frac{1}{3} .
  • Recognize that the denominators are the same, which simplifies subtraction.
  • Subtract the fraction 13 \frac{1}{3} from 23 \frac{2}{3} to determine the missing fraction.

Let’s calculate the missing fraction:

Given the equation:

23missing fraction=13 \frac{2}{3} - \text{missing fraction} = \frac{1}{3}

Rearrange to solve for the missing fraction:

missing fraction=2313\text{missing fraction} = \frac{2}{3} - \frac{1}{3}

Because the fractions have a common denominator, subtract the numerators:

2313=213=13\frac{2}{3} - \frac{1}{3} = \frac{2-1}{3} = \frac{1}{3}

The missing fraction is thus 13\frac{1}{3}.

Therefore, the solution to the problem is 13\frac{1}{3}.

Answer

13 \frac{1}{3}