What is 1/8 plus 1/2? (Answer: 5/8)

Exact Answer

==================================================
Problem: What is 1/8 plus 1/2?
Formula / Expression: 1/8 + 1/2
Final Answer: 5/8
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 8 is an exact multiple of 2 (2 × 4 = 8). The Least Common Denominator (LCD) is simply 8, meaning we only need to scale one fraction.
Working: LCD(8, 2) = 8

Step 2: Convert to Equivalent Fractions with Common Denominator 8
Multiply the numerator and denominator of 1/8 by 1, and multiply the numerator and denominator of 1/2 by 4 so both fractions share the common base 8.
Working: 1 × 1/8 × 1 = 1/8 and 1 × 4/2 × 4 = 4/8

Step 3: Add the Numerators
Now add the numerators (1 + 4 = 5) and keep the common denominator 8 unchanged.
Working: 1 + 4/8 = 5/8

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 5 and 8 is 1, confirming that 5/8 cannot be reduced further—it is already in its simplest irreducible form.
Working: 5/8

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 8 yields an exact terminating decimal of 0.625 (or 62.5%).
Working: 5 ÷ 8 = 0.625 (62.5%)

Key Values:
- Simplified Fraction: 5/8
- Mixed Number Form: 5/8
- Decimal Value: 0.625
- Percentage: 62.5%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-8-plus-1-2/
==================================================

1/8 + 1/2 = 5/8

Simplified Fraction

5/8

Mixed Number

Proper (5/8)

Decimal Value

0.625

Percentage

62.5%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

√ Square Root of: OR Power (x^y): ^{^}

x² + x + = 0

Number (n! & log):

Circle Radius (r):

Side a: Side b:

Angle (Degrees): °

Numbers (comma separated):

Total Items (n): Choose (r):

Decimal Number:

Number (1–3999):

Step-by-Step Solution: 1/8 + 1/2

Step 1

Find the Least Common Denominator (LCD)

Notice that 8 is an exact multiple of 2 (2 × 4 = 8). The Least Common Denominator (LCD) is simply 8, meaning we only need to scale one fraction.

LCD(8, 2) = 8

Step 2

Convert to Equivalent Fractions with Common Denominator 8

Multiply the numerator and denominator of 1/8 by 1, and multiply the numerator and denominator of 1/2 by 4 so both fractions share the common base 8.

1 × 1/8 × 1 = 1/8 and 1 × 4/2 × 4 = 4/8

Step 3

Add the Numerators

Now add the numerators (1 + 4 = 5) and keep the common denominator 8 unchanged.

1 + 4/8 = 5/8

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 5 and 8 is 1, confirming that 5/8 cannot be reduced further—it is already in its simplest irreducible form.

5/8

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 8 yields an exact terminating decimal of 0.625 (or 62.5%).

5 ÷ 8 = 0.625 (62.5%)

Visual Representation

The diagram below illustrates 1/8 plus 1/2 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/8`
Mixed Number Form	`5/8`
Decimal Form	`0.625`
Percentage	`62.5%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 1/8 plus 1/2 as a fraction?

1/8 + 1/2 in simplest fraction form is 5/8.

What is 1/8 plus 1/2 as a decimal?

1/8 + 1/2 converted to a decimal is 0.625.

What is 1/8 plus 1/2 as a percentage?

1/8 + 1/2 expressed as a percentage is 62.5%.

Does 1/8 plus 1/2 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.625) because the denominator in simplest terms contains only prime factors 2 and/or 5.