What is 2/12 plus 5/8? (Answer: 19/24)

Exact Answer

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Problem: What is 2/12 plus 5/8?
Formula / Expression: 2/12 + 5/8
Final Answer: 19/24
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Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 24
Multiply the numerator and denominator of 2/12 by 2, and multiply the numerator and denominator of 5/8 by 3 so both fractions share the common base 24.
Working: 2 × 2/12 × 2 = 4/24 and 5 × 3/8 × 3 = 15/24

Step 3: Add the Numerators
Now add the numerators (4 + 15 = 19) and keep the common denominator 24 unchanged.
Working: 4 + 15/24 = 19/24

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 19 and 24 is 1, confirming that 19/24 cannot be reduced further—it is already in its simplest irreducible form.
Working: 19/24

Step 5: Decimal & Percentage Representation
Dividing the numerator 19 by denominator 24 produces a repeating decimal (approximately 0.791667, or 79.1667%).
Working: 19 ÷ 24 = 0.791667 (79.1667%)

Key Values:
- Simplified Fraction: 19/24
- Mixed Number Form: 19/24
- Decimal Value: 0.791667
- Percentage: 79.1667%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-12-plus-5-8/
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2/12 + 5/8 = 19/24

Simplified Fraction

19/24

Mixed Number

Proper (19/24)

Decimal Value

0.791667

Percentage

79.1667%

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Step-by-Step Solution: 2/12 + 5/8

Step 1

Find the Least Common Denominator (LCD)

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

LCD(12, 8) = 24

Step 2

Convert to Equivalent Fractions with Common Denominator 24

Multiply the numerator and denominator of 2/12 by 2, and multiply the numerator and denominator of 5/8 by 3 so both fractions share the common base 24.

2 × 2/12 × 2 = 4/24 and 5 × 3/8 × 3 = 15/24

Step 3

Add the Numerators

Now add the numerators (4 + 15 = 19) and keep the common denominator 24 unchanged.

4 + 15/24 = 19/24

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 19 and 24 is 1, confirming that 19/24 cannot be reduced further—it is already in its simplest irreducible form.

19/24

Step 5

Decimal & Percentage Representation

Dividing the numerator 19 by denominator 24 produces a repeating decimal (approximately 0.791667, or 79.1667%).

19 ÷ 24 = 0.791667 (79.1667%)

Visual Representation

The diagram below illustrates 2/12 plus 5/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/24`
Mixed Number Form	`19/24`
Decimal Form	`0.791667`
Percentage	`79.1667%`

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Frequently Asked Questions

What is 2/12 plus 5/8 as a fraction?

2/12 + 5/8 in simplest fraction form is 19/24.

What is 2/12 plus 5/8 as a decimal?

2/12 + 5/8 converted to a decimal is 0.791667.

What is 2/12 plus 5/8 as a percentage?

2/12 + 5/8 expressed as a percentage is 79.1667%.

Does 2/12 plus 5/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.791667...) because the denominator contains prime factors other than 2 and 5.