Solve: (4/5 × 1/2) + 3/10 | Mixed Fraction Operations

Question

45×12+310= \frac{4}{5}\times\frac{1}{2}+\frac{3}{10}=

Video Solution

Solution Steps

00:00 Solve
00:03 Make sure to multiply numerator by numerator and denominator by denominator
00:09 Calculate the multiplications
00:13 Add with the common denominator
00:18 Calculate the numerator
00:22 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 first two fractions.
  • Step 2: Add the result to the third fraction.
  • Step 3: Simplify the final result.

Now, let's work through each step:
Step 1: Multiply 45 \frac{4}{5} by 12 \frac{1}{2} . According to the multiplication rule for fractions, we have:
45×12=4×15×2=410 \frac{4}{5} \times \frac{1}{2} = \frac{4 \times 1}{5 \times 2} = \frac{4}{10} Step 2: We need to add 410 \frac{4}{10} to 310 \frac{3}{10} . Since these fractions have the same denominator, we can add them directly:
410+310=4+310=710 \frac{4}{10} + \frac{3}{10} = \frac{4 + 3}{10} = \frac{7}{10} Step 3: The sum 710 \frac{7}{10} is already in simplest form.

Therefore, the solution to the problem is 710 \frac{7}{10} , which matches choice (3) \text{(3)} .

Answer

710 \frac{7}{10}