What is 3/9 plus 4/6? (Answer: 1)

Exact Answer

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Problem: What is 3/9 plus 4/6?
Formula / Expression: 3/9 + 4/6
Final Answer: 1
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 9 and 6 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 18 (which is smaller than their product 9 × 6 = 54, keeping the calculation simpler).
Working: LCD(9, 6) = 18

Step 2: Convert to Equivalent Fractions with Common Denominator 18
Multiply the numerator and denominator of 3/9 by 2, and multiply the numerator and denominator of 4/6 by 3 so both fractions share the common base 18.
Working: 3 × 2/9 × 2 = 6/18 and 4 × 3/6 × 3 = 12/18

Step 3: Add the Numerators
Now add the numerators (6 + 12 = 18) and keep the common denominator 18 unchanged.
Working: 6 + 12/18 = 18/18

Step 4: Simplify to an Exact Whole Number
Notice that the numerator (18) is completely divisible by the denominator (18). Dividing 18 by 18 yields the whole number 1 with zero remainder.
Working: 18/18 = 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 + 4/6 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 3/9 + 4/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 9 and 6 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 18 (which is smaller than their product 9 × 6 = 54, keeping the calculation simpler).

LCD(9, 6) = 18

Step 2

Convert to Equivalent Fractions with Common Denominator 18

Multiply the numerator and denominator of 3/9 by 2, and multiply the numerator and denominator of 4/6 by 3 so both fractions share the common base 18.

3 × 2/9 × 2 = 6/18 and 4 × 3/6 × 3 = 12/18

Step 3

Add the Numerators

Now add the numerators (6 + 12 = 18) and keep the common denominator 18 unchanged.

6 + 12/18 = 18/18

Step 4

Simplify to an Exact Whole Number

Notice that the numerator (18) is completely divisible by the denominator (18). Dividing 18 by 18 yields the whole number 1 with zero remainder.

18/18 = 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 4/6 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 4/6 as a fraction?

3/9 + 4/6 in simplest fraction form is 1.

What is 3/9 plus 4/6 as a decimal?

3/9 + 4/6 converted to a decimal is 1.

What is 3/9 plus 4/6 as a percentage?

3/9 + 4/6 expressed as a percentage is 100%.

Is the answer to 3/9 plus 4/6 a whole number?

Yes, 3/9 + 4/6 simplifies completely to the whole number 1 with no remaining fractional part.