Solve: 4 × 3⅞ Mixed Number Multiplication Problem

Question

4×379= 4\times3\frac{7}{9}=

Video Solution

Step-by-Step Solution

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

  • Step 1: Convert the mixed number 3793\frac{7}{9} to an improper fraction.
  • Step 2: Multiply the improper fraction by the whole number 4.
  • Step 3: Simplify the result back to a mixed number.

Now, let's work through each step:
Step 1: Convert 3793\frac{7}{9} to an improper fraction:
The denominator is 9. Multiply the whole number 3 by 9 and add the numerator 7:
3×9+7=27+7=343 \times 9 + 7 = 27 + 7 = 34.
So, 379=3493\frac{7}{9} = \frac{34}{9}.

Step 2: Multiply 349\frac{34}{9} by 4:
4×349=4×349=1369 4 \times \frac{34}{9} = \frac{4 \times 34}{9} = \frac{136}{9} .

Step 3: Simplify 1369\frac{136}{9} to a mixed number:
Divide 136 by 9. The quotient is 15, and the remainder is 1. Thus, 1369=1519\frac{136}{9} = 15\frac{1}{9}.

Therefore, the solution to the problem is 1519 15\frac{1}{9} .

Answer

1519 15\frac{1}{9}