Understanding the Problem
To find out what needs to be subtracted from 6-3/4 to obtain 4-1/6, we will first convert the mixed numbers into improper fractions for easier calculation.
Step 1: Convert Mixed Numbers to Improper Fractions
- 6-3/4 can be converted as follows:
- 6 = 24/4 (since 6 * 4 = 24)
- Therefore, 6-3/4 = 24/4 - 3/4 = 21/4
- 4-1/6 converts as:
- 4 = 24/6 (since 4 * 6 = 24)
- Thus, 4-1/6 = 24/6 - 1/6 = 23/6
Step 2: Set Up the Equation
Now that we have our improper fractions, we can set up the equation:
- Let x be the number to subtract:
21/4 - x = 23/6
Step 3: Solve for x
To isolate x, we rearrange the equation:
- x = 21/4 - 23/6
Step 4: Find a Common Denominator
To perform the subtraction, we need a common denominator for 4 and 6, which is 12.
- Convert both fractions:
- 21/4 = 63/12 (multiply by 3)
- 23/6 = 46/12 (multiply by 2)
Step 5: Perform the Subtraction
Now, we can subtract:
- x = 63/12 - 46/12 = 17/12
Final Answer
Therefore, to find out what must be subtracted from 6-3/4 to get 4-1/6, the answer is 17/12. Alternatively, this can also be expressed as 1-5/12.