Solve for the Missing Fraction: 10/7 - ? = 5/7

Question

Complete the missing fraction
107——=57 \frac{10}{7}-_{——}=\frac{5}{7}

What is the missing fraction?

Video Solution

Solution Steps

00:10 Let's find the missing fraction.
00:13 If the answer's denominator matches, then the missing denominator matches too.
00:21 Now, let's calculate using the numerators.
00:25 And that's how we solve this problem!

Step-by-Step Solution

To find the missing fraction in the equation 107missing fraction=57 \frac{10}{7} - \text{missing fraction} = \frac{5}{7} , follow these steps:

Step 1: Identify the given equation.
According to the problem, we have:

107missing fraction=57 \frac{10}{7} - \text{missing fraction} = \frac{5}{7}

Step 2: Rearrange the equation to solve for the missing fraction.
If we let the missing fraction be x x , our equation becomes:

107x=57 \frac{10}{7} - x = \frac{5}{7}

Step 3: Isolate x x by subtracting 57 \frac{5}{7} from both sides of the equation:

x=10757 x = \frac{10}{7} - \frac{5}{7}

Step 4: Simplify the subtraction.
Since the denominators are the same, we subtract the numerators directly:

x=1057 x = \frac{10 - 5}{7}

x=57 x = \frac{5}{7}

Therefore, the missing fraction in the equation is 57 \frac{5}{7} .

Answer

57 \frac{5}{7}