What is 3/12 plus 3/4? (Answer: 1)

Exact Answer

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Problem: What is 3/12 plus 3/4?
Formula / Expression: 3/12 + 3/4
Final Answer: 1
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 12 is an exact multiple of 4 (4 × 3 = 12). The Least Common Denominator (LCD) is simply 12, meaning we only need to scale one fraction.
Working: LCD(12, 4) = 12

Step 2: Convert to Equivalent Fractions with Common Denominator 12
Multiply the numerator and denominator of 3/12 by 1, and multiply the numerator and denominator of 3/4 by 3 so both fractions share the common base 12.
Working: 3 × 1/12 × 1 = 3/12 and 3 × 3/4 × 3 = 9/12

Step 3: Add the Numerators
Now add the numerators (3 + 9 = 12) and keep the common denominator 12 unchanged.
Working: 3 + 9/12 = 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.
Working: 12/12 = 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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3/12 + 3/4 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 3/12 + 3/4

Step 1

Find the Least Common Denominator (LCD)

Notice that 12 is an exact multiple of 4 (4 × 3 = 12). The Least Common Denominator (LCD) is simply 12, meaning we only need to scale one fraction.

LCD(12, 4) = 12

Step 2

Convert to Equivalent Fractions with Common Denominator 12

Multiply the numerator and denominator of 3/12 by 1, and multiply the numerator and denominator of 3/4 by 3 so both fractions share the common base 12.

3 × 1/12 × 1 = 3/12 and 3 × 3/4 × 3 = 9/12

Step 3

Add the Numerators

Now add the numerators (3 + 9 = 12) and keep the common denominator 12 unchanged.

3 + 9/12 = 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 3/12 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 3/12 plus 3/4 as a fraction?

3/12 + 3/4 in simplest fraction form is 1.

What is 3/12 plus 3/4 as a decimal?

3/12 + 3/4 converted to a decimal is 1.

What is 3/12 plus 3/4 as a percentage?

3/12 + 3/4 expressed as a percentage is 100%.

Is the answer to 3/12 plus 3/4 a whole number?

Yes, 3/12 + 3/4 simplifies completely to the whole number 1 with no remaining fractional part.