What is 2/22 plus 2/12? (Answer: 17/66)

Exact Answer

==================================================
Problem: What is 2/22 plus 2/12?
Formula / Expression: 2/22 + 2/12
Final Answer: 17/66
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 22 and 12 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 132 (which is smaller than their product 22 × 12 = 264, keeping the calculation simpler).
Working: LCD(22, 12) = 132

Step 2: Convert to Equivalent Fractions with Common Denominator 132
Multiply the numerator and denominator of 2/22 by 6, and multiply the numerator and denominator of 2/12 by 11 so both fractions share the common base 132.
Working: 2 × 6/22 × 6 = 12/132 and 2 × 11/12 × 11 = 22/132

Step 3: Add the Numerators
Now add the numerators (12 + 22 = 34) and keep the common denominator 132 unchanged.
Working: 12 + 22/132 = 34/132

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 34 and 132, which is 2. Divide both the numerator and denominator by 2.
Working: 34 ÷ 2/132 ÷ 2 = 17/66

Step 5: Decimal & Percentage Representation
Dividing the numerator 17 by denominator 66 produces a repeating decimal (approximately 0.257576, or 25.7576%).
Working: 17 ÷ 66 = 0.257576 (25.7576%)

Key Values:
- Simplified Fraction: 17/66
- Mixed Number Form: 17/66
- Decimal Value: 0.257576
- Percentage: 25.7576%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-22-plus-2-12/
==================================================

2/22 + 2/12 = 17/66

Simplified Fraction

17/66

Mixed Number

Proper (17/66)

Decimal Value

0.257576

Percentage

25.7576%

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: 2/22 + 2/12

Step 1

Find the Least Common Denominator (LCD)

The denominators 22 and 12 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 132 (which is smaller than their product 22 × 12 = 264, keeping the calculation simpler).

LCD(22, 12) = 132

Step 2

Convert to Equivalent Fractions with Common Denominator 132

Multiply the numerator and denominator of 2/22 by 6, and multiply the numerator and denominator of 2/12 by 11 so both fractions share the common base 132.

2 × 6/22 × 6 = 12/132 and 2 × 11/12 × 11 = 22/132

Step 3

Add the Numerators

Now add the numerators (12 + 22 = 34) and keep the common denominator 132 unchanged.

12 + 22/132 = 34/132

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 34 and 132, which is 2. Divide both the numerator and denominator by 2.

34 ÷ 2/132 ÷ 2 = 17/66

Step 5

Decimal & Percentage Representation

Dividing the numerator 17 by denominator 66 produces a repeating decimal (approximately 0.257576, or 25.7576%).

17 ÷ 66 = 0.257576 (25.7576%)

Visual Representation

The diagram below illustrates 2/22 plus 2/12 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/66`
Mixed Number Form	`17/66`
Decimal Form	`0.257576`
Percentage	`25.7576%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/22 plus 2/12 as a fraction?

2/22 + 2/12 in simplest fraction form is 17/66.

What is 2/22 plus 2/12 as a decimal?

2/22 + 2/12 converted to a decimal is 0.257576.

What is 2/22 plus 2/12 as a percentage?

2/22 + 2/12 expressed as a percentage is 25.7576%.

Does 2/22 plus 2/12 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.257576...) because the denominator contains prime factors other than 2 and 5.