Solve the Fraction Equation: Finding the Missing Term in 5/15 + ? + 3/15 = 13/15

Question

Complete the missing fraction

515++315=1315 \frac{5}{15}+_—+\frac{3}{15}=\frac{13}{15}

What is the missing fraction?

Video Solution

Solution Steps

00:00 Find the unknown
00:03 According to the calculation, we know that the unknown denominator equals the given denominator
00:08 Let's find the number that completes the numerators to the result numerator
00:18 This is the appropriate number, so we'll substitute it in the unknown numerator
00:21 And this is the solution to the question

Step-by-Step Solution

The goal is to find the missing fraction in the equation 515+_+315=1315 \frac{5}{15} + \_ + \frac{3}{15} = \frac{13}{15} .

To find the missing fraction, observe the following:
- Start by focusing only on the numerators because they have the same denominator.

We write the equation for the numerators:

  • 5+x+3=135 + x + 3 = 13

Combine the known terms on the left side, 5+35 + 3, which results in 8:

  • 8+x=138 + x = 13

Now, solve for xx by subtracting 8 from both sides:

  • x=138x = 13 - 8
  • x=5x = 5

The missing fraction is x15=515 \frac{x}{15} = \frac{5}{15} .

Therefore, the missing fraction that completes the equation is 515 \frac{5}{15} .

Answer

515 \frac{5}{15}