What is 2/8 plus 9/12? (Answer: 1)

Exact Answer

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Problem: What is 2/8 plus 9/12?
Formula / Expression: 2/8 + 9/12
Final Answer: 1
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 12 share a common factor (GCD = 4). Finding their Least Common Multiple gives an LCD of 24 (which is smaller than their product 8 × 12 = 96, keeping the calculation simpler).
Working: LCD(8, 12) = 24

Step 2: Convert to Equivalent Fractions with Common Denominator 24
Multiply the numerator and denominator of 2/8 by 3, and multiply the numerator and denominator of 9/12 by 2 so both fractions share the common base 24.
Working: 2 × 3/8 × 3 = 6/24 and 9 × 2/12 × 2 = 18/24

Step 3: Add the Numerators
Now add the numerators (6 + 18 = 24) and keep the common denominator 24 unchanged.
Working: 6 + 18/24 = 24/24

Step 4: Simplify to an Exact Whole Number
Notice that the numerator (24) is completely divisible by the denominator (24). Dividing 24 by 24 yields the whole number 1 with zero remainder.
Working: 24/24 = 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:
https://fractionscalc.com/what-is-2-8-plus-9-12/
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2/8 + 9/12 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 2/8 + 9/12

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 12 share a common factor (GCD = 4). Finding their Least Common Multiple gives an LCD of 24 (which is smaller than their product 8 × 12 = 96, keeping the calculation simpler).

LCD(8, 12) = 24

Step 2

Convert to Equivalent Fractions with Common Denominator 24

Multiply the numerator and denominator of 2/8 by 3, and multiply the numerator and denominator of 9/12 by 2 so both fractions share the common base 24.

2 × 3/8 × 3 = 6/24 and 9 × 2/12 × 2 = 18/24

Step 3

Add the Numerators

Now add the numerators (6 + 18 = 24) and keep the common denominator 24 unchanged.

6 + 18/24 = 24/24

Step 4

Simplify to an Exact Whole Number

Notice that the numerator (24) is completely divisible by the denominator (24). Dividing 24 by 24 yields the whole number 1 with zero remainder.

24/24 = 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 2/8 plus 9/12 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 2/8 plus 9/12 as a fraction?

2/8 + 9/12 in simplest fraction form is 1.

What is 2/8 plus 9/12 as a decimal?

2/8 + 9/12 converted to a decimal is 1.

What is 2/8 plus 9/12 as a percentage?

2/8 + 9/12 expressed as a percentage is 100%.

Is the answer to 2/8 plus 9/12 a whole number?

Yes, 2/8 + 9/12 simplifies completely to the whole number 1 with no remaining fractional part.