Solve the Mixed Number Equation: Finding the Value When x - 4⅐ = 1⅗

Question

?417=137 ?-4\frac{1}{7}=1\frac{3}{7}

Video Solution

Step-by-Step Solution

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

  • Step 1: Convert the mixed fractions to improper fractions.
  • Step 2: Rearrange the equation to solve for the unknown variable.
  • Step 3: Perform addition and convert back to a mixed fraction if necessary.

Now, let's work through each step:
Step 1: Convert 4174\frac{1}{7} and 1371\frac{3}{7} to improper fractions.
- 4174\frac{1}{7} becomes 297\frac{29}{7} because 4×7+1=294 \times 7 + 1 = 29.
- 1371\frac{3}{7} becomes 107\frac{10}{7} because 1×7+3=101 \times 7 + 3 = 10.

Step 2: The equation is x297=107x - \frac{29}{7} = \frac{10}{7}. Rearranging gives us x=297+107x = \frac{29}{7} + \frac{10}{7}.

Step 3: Perform the addition:
- Adding the improper fractions gives 297+107=397\frac{29}{7} + \frac{10}{7} = \frac{39}{7}.

Step 4: Convert 397\frac{39}{7} back to a mixed fraction:
- Divide 3939 by 77, which gives 55 with a remainder of 44.
- So, 397\frac{39}{7} is equivalent to 5475\frac{4}{7}.

Therefore, the number we are looking for is 5475\frac{4}{7}.

Answer

547 5\frac{4}{7}