Solve: (3/4 × 1/2) + 5/8 Fraction Expression

Question

34×12+58= \frac{3}{4}\times\frac{1}{2}+\frac{5}{8}=

Video Solution

Solution Steps

00:00 Solve
00:03 Make sure to multiply numerator by numerator and denominator by denominator
00:08 Calculate the multiplications
00:13 Add with the common denominator
00:19 Calculate the numerator
00:22 Any number divided by itself always equals 1
00:25 And this is the solution to the question

Step-by-Step Solution

To solve the problem 34×12+58 \frac{3}{4} \times \frac{1}{2} + \frac{5}{8} , we'll follow these steps:

  • Step 1: Multiply the fractions 34×12 \frac{3}{4} \times \frac{1}{2} .
  • Step 2: Add the result to 58 \frac{5}{8} .

Now, let's work through the steps:

Step 1: Compute the product of the first two fractions:
34×12=3×14×2=38 \frac{3}{4} \times \frac{1}{2} = \frac{3 \times 1}{4 \times 2} = \frac{3}{8}

Step 2: Add the resulting fraction to 58 \frac{5}{8} by finding a common denominator:

The fractions 38\frac{3}{8} and 58\frac{5}{8} already have the same denominator, so we can simply add them:
38+58=3+58=88=1 \frac{3}{8} + \frac{5}{8} = \frac{3 + 5}{8} = \frac{8}{8} = 1

Therefore, the solution to the problem is 1 1 .

Answer

1 1