Solve the Fraction Equation: Finding the Missing Term in 4/5 - ? = 3/5

Question

Complete the missing fraction:
45——=35 \frac{4}{5}-_{——}=\frac{3}{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
00:10 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to determine the missing fraction in the equation 45_=35 \frac{4}{5} - \_ = \frac{3}{5} .

Since both fractions have the same denominator, we can focus solely on subtracting the numerators, as the denominators remain unchanged.

The numerators are 44 and 33. To find the missing fraction, calculate the difference between the numerators:

  • Step 1: Subtract the numerators: 43=14 - 3 = 1.
  • Step 2: The common denominator remains 55.
  • Step 3: Thus, the missing fraction is 15\frac{1}{5}.

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

Comparing with the options provided, the correct choice is option 2: 15\frac{1}{5}.

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

Answer

15 \frac{1}{5}