What is 1/2 plus 4/8?
1/2 plus 4/8 equals 1 (or 1 in decimal form). Learn the step-by-step solution to add 1/2 and 4/8 using Least Common Denominator and simplification.
Exact Answer
1/2 + 4/8 = 1
Simplified Fraction
1
Mixed Number
1
Decimal Value
1
Percentage
100%
Step-by-Step Solution: 1/2 + 4/8
Step 1
Find the Least Common Denominator (LCD)
Notice that 8 is an exact multiple of 2 (2 ร 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 4/8 by 1 so both fractions share the common base 8.
1 ร 4/2 ร 4 = 4/8 and 4 ร 1/8 ร 1 = 4/8
Step 3
Add the Numerators
Now add the numerators (4 + 4 = 8) and keep the common denominator 8 unchanged.
4 + 4/8 = 8/8
Step 4
Simplify to an Exact Whole Number
Notice that the numerator (8) is completely divisible by the denominator (8). Dividing 8 by 8 yields the whole number 1 with zero remainder.
8/8 = 1
Step 5
Decimal & Percentage Representation
Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
1 รท 1 = 1 (100%)
Visual Representation
The diagram below illustrates 1/2 plus 4/8 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1 |
| Mixed Number Form | 1 |
| Decimal Form | 1 |
| Percentage | 100% |
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Frequently Asked Questions
What is 1/2 plus 4/8 as a fraction?
1/2 + 4/8 in simplest fraction form is 1.
What is 1/2 plus 4/8 as a decimal?
1/2 + 4/8 converted to a decimal is 1.
What is 1/2 plus 4/8 as a percentage?
1/2 + 4/8 expressed as a percentage is 100%.
Is the answer to 1/2 plus 4/8 a whole number?
Yes, 1/2 + 4/8 simplifies completely to the whole number 1 with no remaining fractional part.