Questions: 5/8 + 1/2

Transcript text: $\frac{5}{8}+\frac{1}{2}$

Solution

Solution Steps

To solve the problem of adding the fractions $\frac{5}{8}$ and $\frac{1}{2}$, we need to find a common denominator. The least common denominator of 8 and 2 is 8. Convert $\frac{1}{2}$ to an equivalent fraction with a denominator of 8, then add the numerators.

Step 1: Identify the Fractions

We are given two fractions: $\frac{5}{8}$ and $\frac{1}{2}$.

Step 2: Find a Common Denominator

The least common denominator of 8 and 2 is 8. We need to convert $\frac{1}{2}$ to an equivalent fraction with a denominator of 8.

Step 3: Convert $\frac{1}{2}$ to an Equivalent Fraction

To convert $\frac{1}{2}$ to a fraction with a denominator of 8, multiply both the numerator and the denominator by 4: \[ \frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8} \]

Step 4: Add the Fractions

Now that both fractions have the same denominator, add the numerators: \[ \frac{5}{8} + \frac{4}{8} = \frac{5 + 4}{8} = \frac{9}{8} \]

Step 5: Simplify the Result

The fraction $\frac{9}{8}$ is an improper fraction. It can be expressed as a mixed number: \[ \frac{9}{8} = 1 \frac{1}{8} \]