What is 3/9 plus 8/12? (Answer: 1)

Exact Answer

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Problem: What is 3/9 plus 8/12?
Formula / Expression: 3/9 + 8/12
Final Answer: 1
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 9 and 12 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 36 (which is smaller than their product 9 × 12 = 108, keeping the calculation simpler).
Working: LCD(9, 12) = 36

Step 2: Convert to Equivalent Fractions with Common Denominator 36
Multiply the numerator and denominator of 3/9 by 4, and multiply the numerator and denominator of 8/12 by 3 so both fractions share the common base 36.
Working: 3 × 4/9 × 4 = 12/36 and 8 × 3/12 × 3 = 24/36

Step 3: Add the Numerators
Now add the numerators (12 + 24 = 36) and keep the common denominator 36 unchanged.
Working: 12 + 24/36 = 36/36

Step 4: Simplify to an Exact Whole Number
Notice that the numerator (36) is completely divisible by the denominator (36). Dividing 36 by 36 yields the whole number 1 with zero remainder.
Working: 36/36 = 1

Step 5: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
Working: 1 ÷ 1 = 1 (100%)

Key Values:
- Simplified Fraction: 1
- Mixed Number Form: 1
- Decimal Value: 1
- Percentage: 100%

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Solved with FractionsCalc:
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3/9 + 8/12 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 3/9 + 8/12

Step 1

Find the Least Common Denominator (LCD)

The denominators 9 and 12 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 36 (which is smaller than their product 9 × 12 = 108, keeping the calculation simpler).

LCD(9, 12) = 36

Step 2

Convert to Equivalent Fractions with Common Denominator 36

Multiply the numerator and denominator of 3/9 by 4, and multiply the numerator and denominator of 8/12 by 3 so both fractions share the common base 36.

3 × 4/9 × 4 = 12/36 and 8 × 3/12 × 3 = 24/36

Step 3

Add the Numerators

Now add the numerators (12 + 24 = 36) and keep the common denominator 36 unchanged.

12 + 24/36 = 36/36

Step 4

Simplify to an Exact Whole Number

Notice that the numerator (36) is completely divisible by the denominator (36). Dividing 36 by 36 yields the whole number 1 with zero remainder.

36/36 = 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 3/9 plus 8/12 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 3/9 plus 8/12 as a fraction?

3/9 + 8/12 in simplest fraction form is 1.

What is 3/9 plus 8/12 as a decimal?

3/9 + 8/12 converted to a decimal is 1.

What is 3/9 plus 8/12 as a percentage?

3/9 + 8/12 expressed as a percentage is 100%.

Is the answer to 3/9 plus 8/12 a whole number?

Yes, 3/9 + 8/12 simplifies completely to the whole number 1 with no remaining fractional part.