What is 1/4 plus 2/8?
1/4 plus 2/8 equals 1/2 (or 0.5 in decimal form). Learn the step-by-step solution to add 1/4 and 2/8 using Least Common Denominator and simplification.
Exact Answer
1/4 + 2/8 = 1/2
Simplified Fraction
1/2
Mixed Number
Proper (1/2)
Decimal Value
0.5
Percentage
50%
Step-by-Step Solution: 1/4 + 2/8
Step 1
Find the Least Common Denominator (LCD)
Notice that 8 is an exact multiple of 4 (4 × 2 = 8). The Least Common Denominator (LCD) is simply 8, meaning we only need to scale one fraction.
LCD(4, 8) = 8
Step 2
Convert to Equivalent Fractions with Common Denominator 8
Multiply the numerator and denominator of 1/4 by 2, and multiply the numerator and denominator of 2/8 by 1 so both fractions share the common base 8.
1 × 2/4 × 2 = 2/8 and 2 × 1/8 × 1 = 2/8
Step 3
Add the Numerators
Now add the numerators (2 + 2 = 4) and keep the common denominator 8 unchanged.
2 + 2/8 = 4/8
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 4 and 8, which is 4. Divide both the numerator and denominator by 4.
4 ÷ 4/8 ÷ 4 = 1/2
Step 5
Decimal & Percentage Representation
Dividing the numerator 1 by denominator 2 yields an exact terminating decimal of 0.5 (or 50%).
1 ÷ 2 = 0.5 (50%)
Visual Representation
The diagram below illustrates 1/4 plus 2/8 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/2 |
| Mixed Number Form | 1/2 |
| Decimal Form | 0.5 |
| Percentage | 50% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 1/4 plus 2/8 as a fraction?
1/4 + 2/8 in simplest fraction form is 1/2.
What is 1/4 plus 2/8 as a decimal?
1/4 + 2/8 converted to a decimal is 0.5.
What is 1/4 plus 2/8 as a percentage?
1/4 + 2/8 expressed as a percentage is 50%.
Does 1/4 plus 2/8 result in a terminating or repeating decimal?
It results in an exact terminating decimal (0.5) because the denominator in simplest terms contains only prime factors 2 and/or 5.