What is 2/4 plus 8/12? (Answer: 7/6)

Exact Answer

==================================================
Problem: What is 2/4 plus 8/12?
Formula / Expression: 2/4 + 8/12
Final Answer: 1 1/6 (7/6)
==================================================

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(4, 12) = 12

Step 2: Convert to Equivalent Fractions with Common Denominator 12
Multiply the numerator and denominator of 2/4 by 3, and multiply the numerator and denominator of 8/12 by 1 so both fractions share the common base 12.
Working: 2 × 3/4 × 3 = 6/12 and 8 × 1/12 × 1 = 8/12

Step 3: Add the Numerators
Now add the numerators (6 + 8 = 14) and keep the common denominator 12 unchanged.
Working: 6 + 8/12 = 14/12

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 14 and 12, which is 2. Divide both the numerator and denominator by 2.
Working: 14 ÷ 2/12 ÷ 2 = 7/6

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (7) is greater than the denominator (6), divide 7 by 6: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/6.
Working: 7/6 = 1 1/6

Step 6: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 6 produces a repeating decimal (approximately 1.166667, or 116.6667%).
Working: 7 ÷ 6 = 1.166667 (116.6667%)

Key Values:
- Simplified Fraction: 7/6
- Mixed Number Form: 1 1/6
- Decimal Value: 1.166667
- Percentage: 116.6667%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-4-plus-8-12/
==================================================

2/4 + 8/12 = 7/6

Simplified Fraction

7/6

Mixed Number

1 1/6

Decimal Value

1.166667

Percentage

116.6667%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

Switch to Proportion / Missing X Solver (A/B = C/D) →

Enter 3 known numbers and leave 1 empty (or type x) to solve:

← Switch to Ratio Simplifier (A:B)

Provide any 2 values below to calculate the remaining:

Price before discount

Discount

Price after discount

You saved

+ Add Sales Tax & Extra Coupon (Optional)

Sales Tax: % Extra Off: %

Provide any 2 values below to calculate the remaining:

Cost

Markup

REVENUE

Gross Profit

Profit Margin

Bill Subtotal

Tip Percentage

Split (People)

👥

Quick Tip:

Total Bill

Split Between

👥

Tip % (Optional)

Include Tip:

Total Price

Quantity

Unit of Measure

← Discount & Sales Tax • Ratio Simplifier (A:B) →

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

Number to Round: To Nearest:

Method: Standard (5+ ↑) Always Up (Ceil) Always Down (Floor)

Presets:

√ Square Root of: OR Power (x^y): ^{^}

x² + x + = 0

Number (n! & log):

Circle Radius (r):

Side a: Side b:

Angle (Degrees): °

Numbers (comma separated):

Total Items (n): Choose (r):

Decimal Number:

Number (1–3999):

Step-by-Step Solution: 2/4 + 8/12

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(4, 12) = 12

Step 2

Convert to Equivalent Fractions with Common Denominator 12

Multiply the numerator and denominator of 2/4 by 3, and multiply the numerator and denominator of 8/12 by 1 so both fractions share the common base 12.

2 × 3/4 × 3 = 6/12 and 8 × 1/12 × 1 = 8/12

Step 3

Add the Numerators

Now add the numerators (6 + 8 = 14) and keep the common denominator 12 unchanged.

6 + 8/12 = 14/12

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 14 and 12, which is 2. Divide both the numerator and denominator by 2.

14 ÷ 2/12 ÷ 2 = 7/6

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (7) is greater than the denominator (6), divide 7 by 6: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/6.

7/6 = 11/6

Step 6

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 6 produces a repeating decimal (approximately 1.166667, or 116.6667%).

7 ÷ 6 = 1.166667 (116.6667%)

Visual Representation

The diagram below illustrates 2/4 plus 8/12 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/6`
Mixed Number Form	`1 1/6`
Decimal Form	`1.166667`
Percentage	`116.6667%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/4 plus 8/12 as a fraction?

2/4 + 8/12 in simplest fraction form is 7/6 (or 1 1/6 as a mixed number).

What is 2/4 plus 8/12 as a decimal?

2/4 + 8/12 converted to a decimal is 1.166667.

What is 2/4 plus 8/12 as a percentage?

2/4 + 8/12 expressed as a percentage is 116.6667%.

How do you write 2/4 plus 8/12 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 7/6 can be written as the mixed number 1 1/6.

Does 2/4 plus 8/12 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.166667...) because the denominator contains prime factors other than 2 and 5.