Solve the Fraction Equation: Finding the Missing Term in 2/5 - ? = 1/5

Question

Complete the missing fraction
25——=15 \frac{2}{5}-_{——}=\frac{1}{5}

What is the missing fraction?

Video Solution

Solution Steps

00:00 Find the unknown
00:03 We notice that the result has the same denominator
00:06 Therefore, the unknown must also have the same denominator
00:09 Now we'll understand what the unknown is according to the numerators
00:11 We'll find the unknown and substitute it in the numerator
00:13 And this is the solution to the question

Step-by-Step Solution

To solve the problem 25_=15 \frac{2}{5} - \_ = \frac{1}{5} , we will use the concept of subtraction of fractions to find the missing fraction.

Let's follow these steps:

  • Step 1: Identify the given fractions.
  • Step 2: Use the subtraction identity to find the missing fraction.
  • Step 3: Solve for the missing fraction.

Step 1: The initial fraction (minuend) is 25 \frac{2}{5} and the result (difference) is 15 \frac{1}{5} .

Step 2: Apply the formula from our analysis: MinuendDifference=Subtrahend \text{Minuend} - \text{Difference} = \text{Subtrahend} . That means 2515=_ \frac{2}{5} - \frac{1}{5} = \_ .

Step 3: Perform the subtraction by subtracting the numerators:

2515=215=15 \frac{2}{5} - \frac{1}{5} = \frac{2 - 1}{5} = \frac{1}{5} .

Therefore, the missing fraction is 15 \frac{1}{5} .

Answer

15 \frac{1}{5}