Solve: Dividing Three-Fourths by 3 (¾ ÷ 3)

Question

34:3= \frac{3}{4}:3=

Video Solution

Step-by-Step Solution

To solve this problem, follow these steps:

  • Step 1: Identify the problem as dividing the fraction 34 \frac{3}{4} by the whole number 3.
  • Step 2: Understand that dividing by 3 is equivalent to multiplying by its reciprocal, which is 13 \frac{1}{3} .
  • Step 3: Multiply 34 \frac{3}{4} by 13 \frac{1}{3} .
  • Step 4: Simplify the result if possible.

Let's solve this step-by-step:
Step 1: The given expression is 34÷3 \frac{3}{4} \div 3 .
Step 2: Rewrite the division as a multiplication using the reciprocal: 34×13 \frac{3}{4} \times \frac{1}{3} .
Step 3: Perform the multiplication: 34×13=3×14×3=312 \frac{3}{4} \times \frac{1}{3} = \frac{3 \times 1}{4 \times 3} = \frac{3}{12} .
Step 4: Simplify 312 \frac{3}{12} by dividing the numerator and the denominator by their greatest common divisor, which is 3:
312=3÷312÷3=14\frac{3}{12} = \frac{3 \div 3}{12 \div 3} = \frac{1}{4}.

Therefore, the solution to the problem is 14 \frac{1}{4} .

Answer

14 \frac{1}{4}