Solve Mixed Number Subtraction: 7¼ - 3½ Step-by-Step

Question

714324= 7\frac{1}{4}-3\frac{2}{4}=

Video Solution

Step-by-Step Solution

To solve the subtraction of the mixed numbers 714324 7\frac{1}{4} - 3\frac{2}{4} , we follow these steps:

  • Step 1: Subtract the whole numbers:
    73=4 7 - 3 = 4 .
  • Step 2: Subtract the fractions:
    1424 \frac{1}{4} - \frac{2}{4} results in 14 \frac{-1}{4} , because the numerators give 12=1 1 - 2 = -1 .
  • Step 3: Combine these results, we initially have 414 4\frac{-1}{4} . Since we can't leave a negative fraction in this form, we adjust by borrowing 1 from the whole number:
    • Convert 1 1 (borrowed from 4) into 44 \frac{4}{4} which combines with the fraction: 4414=34 \frac{4}{4} - \frac{1}{4} = \frac{3}{4} .
  • Step 4: Adjusting the whole number:
    Remove 1 from 4 to account for the adjustment: 41=3 4 - 1 = 3 .

Therefore, combining these parts, the mixed number resulting from the subtraction is 334 3\frac{3}{4} .

Thus, the final result is 334 3\frac{3}{4} .

Answer

334 3\frac{3}{4}