Solve the Fraction Equation: Finding the Missing Addend in 1/5 + ? = 3/5

Question

Complete the missing fraction

15+=35 \frac{1}{5}+_—=\frac{3}{5}

What is the missing fraction?

Video Solution

Solution Steps

00:00 Find the unknown
00:07 According to the calculation, we know that the denominator of the unknown equals the given denominator
00:12 Let's find the number that completes the numerator to the result's numerator
00:20 And this is the solution to the question

Step-by-Step Solution

To find the missing fraction xx in the equation 15+x=35\frac{1}{5} + x = \frac{3}{5}, we can follow these steps:

  • Step 1: Start with the given equation: 15+x=35\frac{1}{5} + x = \frac{3}{5}.
  • Step 2: Subtract 15\frac{1}{5} from both sides to solve for xx:

x=3515 x = \frac{3}{5} - \frac{1}{5}

  • Step 3: Since the fractions have the same denominator, subtract the numerators directly:

x=315=25 x = \frac{3 - 1}{5} = \frac{2}{5}

Thus, the missing fraction is 25\frac{2}{5}.

Therefore, the solution to the problem is 25 \frac{2}{5} .

Answer

25 \frac{2}{5}