What is 1/2 plus 6/8?
1/2 plus 6/8 equals 5/4 (or 1 1/4 as a mixed number) (or 1.25 in decimal form). Learn the step-by-step solution to add 1/2 and 6/8 using Least Common Denominator and simplification.
Exact Answer
1/2 + 6/8 = 5/4
Simplified Fraction
5/4
Mixed Number
1 1/4
Decimal Value
1.25
Percentage
125%
Step-by-Step Solution: 1/2 + 6/8
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(2, 8) = 8
Step 2
Convert to Equivalent Fractions with Common Denominator 8
Multiply the numerator and denominator of 1/2 by 4, and multiply the numerator and denominator of 6/8 by 1 so both fractions share the common base 8.
1 × 4/2 × 4 = 4/8 and 6 × 1/8 × 1 = 6/8
Step 3
Add the Numerators
Now add the numerators (4 + 6 = 10) and keep the common denominator 8 unchanged.
4 + 6/8 = 10/8
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 10 and 8, which is 2. Divide both the numerator and denominator by 2.
10 ÷ 2/8 ÷ 2 = 5/4
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (5) is greater than the denominator (4), divide 5 by 4: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/4.
5/4 = 11/4
Step 6
Decimal & Percentage Representation
Dividing the numerator 5 by denominator 4 yields an exact terminating decimal of 1.25 (or 125%).
5 ÷ 4 = 1.25 (125%)
Visual Representation
The diagram below illustrates 1/2 plus 6/8 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/4 |
| Mixed Number Form | 1 1/4 |
| Decimal Form | 1.25 |
| Percentage | 125% |
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Frequently Asked Questions
What is 1/2 plus 6/8 as a fraction?
1/2 + 6/8 in simplest fraction form is 5/4 (or 1 1/4 as a mixed number).
What is 1/2 plus 6/8 as a decimal?
1/2 + 6/8 converted to a decimal is 1.25.
What is 1/2 plus 6/8 as a percentage?
1/2 + 6/8 expressed as a percentage is 125%.
How do you write 1/2 plus 6/8 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 5/4 can be written as the mixed number 1 1/4.
Does 1/2 plus 6/8 result in a terminating or repeating decimal?
It results in an exact terminating decimal (1.25) because the denominator in simplest terms contains only prime factors 2 and/or 5.