What is 2/33 plus 2/6? (Answer: 13/33)

Exact Answer

==================================================
Problem: What is 2/33 plus 2/6?
Formula / Expression: 2/33 + 2/6
Final Answer: 13/33
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 33 and 6 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 66 (which is smaller than their product 33 × 6 = 198, keeping the calculation simpler).
Working: LCD(33, 6) = 66

Step 2: Convert to Equivalent Fractions with Common Denominator 66
Multiply the numerator and denominator of 2/33 by 2, and multiply the numerator and denominator of 2/6 by 11 so both fractions share the common base 66.
Working: 2 × 2/33 × 2 = 4/66 and 2 × 11/6 × 11 = 22/66

Step 3: Add the Numerators
Now add the numerators (4 + 22 = 26) and keep the common denominator 66 unchanged.
Working: 4 + 22/66 = 26/66

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 26 and 66, which is 2. Divide both the numerator and denominator by 2.
Working: 26 ÷ 2/66 ÷ 2 = 13/33

Step 5: Decimal & Percentage Representation
Dividing the numerator 13 by denominator 33 produces a repeating decimal (approximately 0.393939, or 39.3939%).
Working: 13 ÷ 33 = 0.393939 (39.3939%)

Key Values:
- Simplified Fraction: 13/33
- Mixed Number Form: 13/33
- Decimal Value: 0.393939
- Percentage: 39.3939%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-33-plus-2-6/
==================================================

2/33 + 2/6 = 13/33

Simplified Fraction

13/33

Mixed Number

Proper (13/33)

Decimal Value

0.393939

Percentage

39.3939%

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: 2/33 + 2/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 33 and 6 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 66 (which is smaller than their product 33 × 6 = 198, keeping the calculation simpler).

LCD(33, 6) = 66

Step 2

Convert to Equivalent Fractions with Common Denominator 66

Multiply the numerator and denominator of 2/33 by 2, and multiply the numerator and denominator of 2/6 by 11 so both fractions share the common base 66.

2 × 2/33 × 2 = 4/66 and 2 × 11/6 × 11 = 22/66

Step 3

Add the Numerators

Now add the numerators (4 + 22 = 26) and keep the common denominator 66 unchanged.

4 + 22/66 = 26/66

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 26 and 66, which is 2. Divide both the numerator and denominator by 2.

26 ÷ 2/66 ÷ 2 = 13/33

Step 5

Decimal & Percentage Representation

Dividing the numerator 13 by denominator 33 produces a repeating decimal (approximately 0.393939, or 39.3939%).

13 ÷ 33 = 0.393939 (39.3939%)

Visual Representation

The diagram below illustrates 2/33 plus 2/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/33`
Mixed Number Form	`13/33`
Decimal Form	`0.393939`
Percentage	`39.3939%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/33 plus 2/6 as a fraction?

2/33 + 2/6 in simplest fraction form is 13/33.

What is 2/33 plus 2/6 as a decimal?

2/33 + 2/6 converted to a decimal is 0.393939.

What is 2/33 plus 2/6 as a percentage?

2/33 + 2/6 expressed as a percentage is 39.3939%.

Does 2/33 plus 2/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.393939...) because the denominator contains prime factors other than 2 and 5.