What is 2/14 plus 1/2? (Answer: 9/14)

Exact Answer

==================================================
Problem: What is 2/14 plus 1/2?
Formula / Expression: 2/14 + 1/2
Final Answer: 9/14
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 14 is an exact multiple of 2 (2 × 7 = 14). The Least Common Denominator (LCD) is simply 14, meaning we only need to scale one fraction.
Working: LCD(14, 2) = 14

Step 2: Convert to Equivalent Fractions with Common Denominator 14
Multiply the numerator and denominator of 2/14 by 1, and multiply the numerator and denominator of 1/2 by 7 so both fractions share the common base 14.
Working: 2 × 1/14 × 1 = 2/14 and 1 × 7/2 × 7 = 7/14

Step 3: Add the Numerators
Now add the numerators (2 + 7 = 9) and keep the common denominator 14 unchanged.
Working: 2 + 7/14 = 9/14

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 9 and 14 is 1, confirming that 9/14 cannot be reduced further—it is already in its simplest irreducible form.
Working: 9/14

Step 5: Decimal & Percentage Representation
Dividing the numerator 9 by denominator 14 produces a repeating decimal (approximately 0.642857, or 64.2857%).
Working: 9 ÷ 14 = 0.642857 (64.2857%)

Key Values:
- Simplified Fraction: 9/14
- Mixed Number Form: 9/14
- Decimal Value: 0.642857
- Percentage: 64.2857%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-14-plus-1-2/
==================================================

2/14 + 1/2 = 9/14

Simplified Fraction

9/14

Mixed Number

Proper (9/14)

Decimal Value

0.642857

Percentage

64.2857%

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: 2/14 + 1/2

Step 1

Find the Least Common Denominator (LCD)

Notice that 14 is an exact multiple of 2 (2 × 7 = 14). The Least Common Denominator (LCD) is simply 14, meaning we only need to scale one fraction.

LCD(14, 2) = 14

Step 2

Convert to Equivalent Fractions with Common Denominator 14

Multiply the numerator and denominator of 2/14 by 1, and multiply the numerator and denominator of 1/2 by 7 so both fractions share the common base 14.

2 × 1/14 × 1 = 2/14 and 1 × 7/2 × 7 = 7/14

Step 3

Add the Numerators

Now add the numerators (2 + 7 = 9) and keep the common denominator 14 unchanged.

2 + 7/14 = 9/14

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 9 and 14 is 1, confirming that 9/14 cannot be reduced further—it is already in its simplest irreducible form.

9/14

Step 5

Decimal & Percentage Representation

Dividing the numerator 9 by denominator 14 produces a repeating decimal (approximately 0.642857, or 64.2857%).

9 ÷ 14 = 0.642857 (64.2857%)

Visual Representation

The diagram below illustrates 2/14 plus 1/2 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/14`
Mixed Number Form	`9/14`
Decimal Form	`0.642857`
Percentage	`64.2857%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/14 plus 1/2 as a fraction?

2/14 + 1/2 in simplest fraction form is 9/14.

What is 2/14 plus 1/2 as a decimal?

2/14 + 1/2 converted to a decimal is 0.642857.

What is 2/14 plus 1/2 as a percentage?

2/14 + 1/2 expressed as a percentage is 64.2857%.

Does 2/14 plus 1/2 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.642857...) because the denominator contains prime factors other than 2 and 5.