What is 2/8 plus 3/4?
2/8 plus 3/4 equals 1 (or 1 in decimal form). Learn the step-by-step solution to add 2/8 and 3/4 using Least Common Denominator and simplification.
Exact Answer
2/8 + 3/4 = 1
Simplified Fraction
1
Mixed Number
1
Decimal Value
1
Percentage
100%
Step-by-Step Solution: 2/8 + 3/4
Step 1
Find the Least Common Denominator (LCD)
Notice that 8 is an exact multiple of 4 (4 Γ 2 = 8). The Least Common Denominator (LCD) is simply 8, meaning we only need to scale one fraction.
LCD(8, 4) = 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 3/4 by 2 so both fractions share the common base 8.
2 Γ 1/8 Γ 1 = 2/8 and 3 Γ 2/4 Γ 2 = 6/8
Step 3
Add the Numerators
Now add the numerators (2 + 6 = 8) and keep the common denominator 8 unchanged.
2 + 6/8 = 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 Γ· 1 = 1 (100%)
Visual Representation
The diagram below illustrates 2/8 plus 3/4 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 2/8 plus 3/4 as a fraction?
2/8 + 3/4 in simplest fraction form is 1.
What is 2/8 plus 3/4 as a decimal?
2/8 + 3/4 converted to a decimal is 1.
What is 2/8 plus 3/4 as a percentage?
2/8 + 3/4 expressed as a percentage is 100%.
Is the answer to 2/8 plus 3/4 a whole number?
Yes, 2/8 + 3/4 simplifies completely to the whole number 1 with no remaining fractional part.