?−471=173
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 471 and 173 to improper fractions.
- 471 becomes 729 because 4×7+1=29.
- 173 becomes 710 because 1×7+3=10.
Step 2: The equation is x−729=710. Rearranging gives us x=729+710.
Step 3: Perform the addition:
- Adding the improper fractions gives 729+710=739.
Step 4: Convert 739 back to a mixed fraction:
- Divide 39 by 7, which gives 5 with a remainder of 4.
- So, 739 is equivalent to 574.
Therefore, the number we are looking for is 574.