Solve: Find the Missing Fraction in 3/10 + ? + 3/10 = 9/10

Question

Complete the missing fraction

310++310=910 \frac{3}{10}+_—+\frac{3}{10}=\frac{9}{10}

What is the missing fraction?

Video Solution

Solution Steps

00:00 Find the unknown
00:04 According to the calculation, we know that the unknown denominator equals the given denominator
00:07 Let's find the number that completes the numerators to the result numerator
00:17 This is the appropriate number, so we'll substitute it in the unknown numerator
00:20 And this is the solution to the question

Step-by-Step Solution

To find the missing fraction in the equation 310+_+310=910 \frac{3}{10} + \_ + \frac{3}{10} = \frac{9}{10} , we need to determine what must be added to the sums of the known fractions to reach the total sum.

Step 1: Calculate the sum of known fractions. We have:

  • 310+310 \frac{3}{10} + \frac{3}{10}

Add the numerators together, since both fractions have the same denominator:

  • 3+3=6 3 + 3 = 6

Thus, the combined fraction is:

  • 610 \frac{6}{10}

Step 2: To find the missing fraction, subtract the sum of known fractions from the total:

  • 910610=310 \frac{9}{10} - \frac{6}{10} = \frac{3}{10}

This shows that the missing fraction is indeed 310 \frac{3}{10} .

Therefore, the solution to the problem is 310 \frac{3}{10} .

Answer

310 \frac{3}{10}