Multiply Fractions: Calculate 3/4 × 1/2 Step-by-Step

Question

34×12= \frac{3}{4}\times\frac{1}{2}=

Video Solution

Solution Steps

00:00 Solve
00:03 We'll make sure to multiply numerator by numerator and denominator by denominator
00:06 Let's calculate the multiplications
00:09 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Multiply the numerators of the fractions.
  • Step 2: Multiply the denominators of the fractions.
  • Step 3: Simplify the resulting fraction if needed.

Now, let's work through each step:

Step 1: The fractions are given as 34 \frac{3}{4} and 12 \frac{1}{2} . Multiplying the numerators, we get:

3×1=3 3 \times 1 = 3

Step 2: Next, multiply the denominators:

4×2=8 4 \times 2 = 8

Step 3: Combine these results to write the product of the fractions:

34×12=3×14×2=38\frac{3}{4} \times \frac{1}{2} = \frac{3 \times 1}{4 \times 2} = \frac{3}{8}

The resulting fraction 38 \frac{3}{8} is already in its simplest form, so no further simplification is necessary.

Therefore, the solution to the problem is 38 \frac{3}{8} .

Answer

38 \frac{3}{8}