Solve: (1/4 × 1/2) + 3/8 - Mixed Fraction Operations

Question

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

Video Solution

Solution Steps

00:00 Solve
00:03 Make sure to multiply numerator by numerator and denominator by denominator
00:06 Calculate the multiplications
00:18 Connect with the common denominator
00:21 Calculate the numerator
00:26 Reduce the fraction as much as possible
00:30 Make sure to divide both numerator and denominator
00:34 And this is the solution to the problem

Step-by-Step Solution

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

  • Step 1: Multiply the given fractions.
  • Step 2: Simplify if necessary.
  • Step 3: Perform the addition of resulting fractions.

Now, let's work through each step:

Step 1: Multiply the fractions:
14×12=1×14×2=18\frac{1}{4} \times \frac{1}{2} = \frac{1 \times 1}{4 \times 2} = \frac{1}{8}

Step 2: We find that the result is already simplified.

Step 3: Add 18 \frac{1}{8} to 38 \frac{3}{8} :
18+38=1+38=48=12\frac{1}{8} + \frac{3}{8} = \frac{1 + 3}{8} = \frac{4}{8} = \frac{1}{2}

The fractions have the same denominator, allowing for direct addition.

Therefore, the solution to the problem is 12 \frac{1}{2} .

Answer

12 \frac{1}{2}