What is 4/12 plus 2/3?
4/12 plus 2/3 equals 1 (or 1 in decimal form). Learn the step-by-step solution to add 4/12 and 2/3 using Least Common Denominator and simplification.
Exact Answer
4/12 + 2/3 = 1
Simplified Fraction
1
Mixed Number
1
Decimal Value
1
Percentage
100%
Step-by-Step Solution: 4/12 + 2/3
Step 1
Find the Least Common Denominator (LCD)
Notice that 12 is an exact multiple of 3 (3 × 4 = 12). The Least Common Denominator (LCD) is simply 12, meaning we only need to scale one fraction.
LCD(12, 3) = 12
Step 2
Convert to Equivalent Fractions with Common Denominator 12
Multiply the numerator and denominator of 4/12 by 1, and multiply the numerator and denominator of 2/3 by 4 so both fractions share the common base 12.
4 × 1/12 × 1 = 4/12 and 2 × 4/3 × 4 = 8/12
Step 3
Add the Numerators
Now add the numerators (4 + 8 = 12) and keep the common denominator 12 unchanged.
4 + 8/12 = 12/12
Step 4
Simplify to an Exact Whole Number
Notice that the numerator (12) is completely divisible by the denominator (12). Dividing 12 by 12 yields the whole number 1 with zero remainder.
12/12 = 1
Step 5
Decimal & Percentage Representation
Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
1 ÷ 1 = 1 (100%)
Visual Representation
The diagram below illustrates 4/12 plus 2/3 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 4/12 plus 2/3 as a fraction?
4/12 + 2/3 in simplest fraction form is 1.
What is 4/12 plus 2/3 as a decimal?
4/12 + 2/3 converted to a decimal is 1.
What is 4/12 plus 2/3 as a percentage?
4/12 + 2/3 expressed as a percentage is 100%.
Is the answer to 4/12 plus 2/3 a whole number?
Yes, 4/12 + 2/3 simplifies completely to the whole number 1 with no remaining fractional part.