What is 2/8 plus 1/2?
2/8 plus 1/2 equals 3/4 (or 0.75 in decimal form). Learn the step-by-step solution to add 2/8 and 1/2 using Least Common Denominator and simplification.
Exact Answer
2/8 + 1/2 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 2/8 + 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 2/8 by 1, and multiply the numerator and denominator of 1/2 by 4 so both fractions share the common base 8.
2 × 1/8 × 1 = 2/8 and 1 × 4/2 × 4 = 4/8
Step 3
Add the Numerators
Now add the numerators (2 + 4 = 6) and keep the common denominator 8 unchanged.
2 + 4/8 = 6/8
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 6 and 8, which is 2. Divide both the numerator and denominator by 2.
6 ÷ 2/8 ÷ 2 = 3/4
Step 5
Decimal & Percentage Representation
Dividing the numerator 3 by denominator 4 yields an exact terminating decimal of 0.75 (or 75%).
3 ÷ 4 = 0.75 (75%)
Visual Representation
The diagram below illustrates 2/8 plus 1/2 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
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Frequently Asked Questions
What is 2/8 plus 1/2 as a fraction?
2/8 + 1/2 in simplest fraction form is 3/4.
What is 2/8 plus 1/2 as a decimal?
2/8 + 1/2 converted to a decimal is 0.75.
What is 2/8 plus 1/2 as a percentage?
2/8 + 1/2 expressed as a percentage is 75%.
Does 2/8 plus 1/2 result in a terminating or repeating decimal?
It results in an exact terminating decimal (0.75) because the denominator in simplest terms contains only prime factors 2 and/or 5.