Solve the Fraction Equation: 3/5 - ? = 2/5

Question

Complete the missing fraction
35——=25 \frac{3}{5}-_{——}=\frac{2}{5}

What is the missing fraction?

Video Solution

Solution Steps

00:00 Find the missing fraction
00:03 Since the result's denominator is identical to the fraction, then the unknown's denominator is also identical
00:08 Now let's calculate according to the numerators
00:13 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will subtract the given result fraction from the initial fraction to find the missing fraction.

Step 1: Identify the given fractions.
We are given 35 \frac{3}{5} and need to identify the fraction that, when subtracted, results in 25 \frac{2}{5} .

Step 2: Perform the subtraction on the numerators.
The equation we form is:

35missing fraction=25 \frac{3}{5} - \text{missing fraction} = \frac{2}{5}

We rearrange this to solve for the missing fraction:
missing fraction=3525\text{missing fraction} = \frac{3}{5} - \frac{2}{5}

Step 3: Calculate the difference of the numerators since the denominators are the same:
325=15\frac{3 - 2}{5} = \frac{1}{5}

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

Therefore, the solution to the problem is 15 \frac{1}{5} .

Answer

15 \frac{1}{5}