Solve: Dividing Three-Fourths (3/4) by 4

Question

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

Video Solution

Step-by-Step Solution

To solve this problem, follow these steps:

  • Step 1: Recognize that dividing by a number is equivalent to multiplying by its reciprocal.
  • Step 2: Apply this transformation to the problem, emphasizing the operation change.
  • Step 3: Perform the multiplication operation correctly.
  • Step 4: Simplify the resulting fraction to simplest terms.

Let's work through it:

Step 1: Start with the expression: 34÷4\frac{3}{4} \div 4.

Step 2: Convert the division by 4 into multiplication by its reciprocal, 14\frac{1}{4}. The expression becomes: 34×14\frac{3}{4} \times \frac{1}{4}.

Step 3: To multiply fractions, multiply the numerators together and the denominators together:
Numerator: 3×1=33 \times 1 = 3
Denominator: 4×4=164 \times 4 = 16

Therefore, the resulting fraction from the multiplication is 316\frac{3}{16}.

There is no need for additional simplification as 316\frac{3}{16} is already in simplest form.

Therefore, the solution to the problem is 316 \frac{3}{16} .

Answer

316 \frac{3}{16}