Solve the Fraction Equation: Finding the Missing Term in 9/5 - ? = 6/5

Question

Complete the missing fraction
95——=65 \frac{9}{5}-_{——}=\frac{6}{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
00:07 Now let's calculate according to the numerators
00:12 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Restate the equation in terms of subtraction.
  • Step 2: Perform the subtraction.
  • Step 3: Verify and simplify, if needed.

Now, let's work through each step:

Step 1: We are given the equation 95(missing fraction)=65 \frac{9}{5} - \text{(missing fraction)} = \frac{6}{5} .

Step 2: To find the missing fraction, rearrange this as subtraction: Missing fraction=9565 \text{Missing fraction} = \frac{9}{5} - \frac{6}{5} .

Step 3: Perform the subtraction:

Missing fraction=9565=965=35 \text{Missing fraction} = \frac{9}{5} - \frac{6}{5} = \frac{9 - 6}{5} = \frac{3}{5} .

Thus, the missing fraction is 35 \frac{3}{5} .

Therefore, the solution to the problem is 35 \frac{3}{5} .

Answer

35 \frac{3}{5}