?−231=142
To solve this equation ?−231=142, we will perform the following steps:
- Step 1: Convert mixed fractions to improper fractions.
Convert 231 to an improper fraction:
231=32×3+1=37
Convert 142 to an improper fraction:
142=1+21=22+21=23
- Step 2: Solve for the missing term using the given equation.
Modify the equation to solve for the unknown fraction x:
x=23+37
Convert these fractions to have a common denominator. The least common multiple of 2 and 3 is 6.
23=69 and 37=614
Adding these gives us:
x=69+614=623
- Step 3: Convert the improper fraction back to a mixed fraction.
Divide 23 by 6 to get 3 with a remainder of 5, thus:
x=365
- Step 4: Double-check the calculation results.
Verify each conversion step and calculations to ensure accuracy.
Therefore, the missing term that satisfies the equation is 4121, corresponding to choice 1.