What is 2/22 plus 4/6? (Answer: 25/33)

Exact Answer

==================================================
Problem: What is 2/22 plus 4/6?
Formula / Expression: 2/22 + 4/6
Final Answer: 25/33
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 22 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 66 (which is smaller than their product 22 × 6 = 132, keeping the calculation simpler).
Working: LCD(22, 6) = 66

Step 2: Convert to Equivalent Fractions with Common Denominator 66
Multiply the numerator and denominator of 2/22 by 3, and multiply the numerator and denominator of 4/6 by 11 so both fractions share the common base 66.
Working: 2 × 3/22 × 3 = 6/66 and 4 × 11/6 × 11 = 44/66

Step 3: Add the Numerators
Now add the numerators (6 + 44 = 50) and keep the common denominator 66 unchanged.
Working: 6 + 44/66 = 50/66

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 50 and 66, which is 2. Divide both the numerator and denominator by 2.
Working: 50 ÷ 2/66 ÷ 2 = 25/33

Step 5: Decimal & Percentage Representation
Dividing the numerator 25 by denominator 33 produces a repeating decimal (approximately 0.757576, or 75.7576%).
Working: 25 ÷ 33 = 0.757576 (75.7576%)

Key Values:
- Simplified Fraction: 25/33
- Mixed Number Form: 25/33
- Decimal Value: 0.757576
- Percentage: 75.7576%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-22-plus-4-6/
==================================================

2/22 + 4/6 = 25/33

Simplified Fraction

25/33

Mixed Number

Proper (25/33)

Decimal Value

0.757576

Percentage

75.7576%

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 + 4/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 22 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 66 (which is smaller than their product 22 × 6 = 132, keeping the calculation simpler).

LCD(22, 6) = 66

Step 2

Convert to Equivalent Fractions with Common Denominator 66

Multiply the numerator and denominator of 2/22 by 3, and multiply the numerator and denominator of 4/6 by 11 so both fractions share the common base 66.

2 × 3/22 × 3 = 6/66 and 4 × 11/6 × 11 = 44/66

Step 3

Add the Numerators

Now add the numerators (6 + 44 = 50) and keep the common denominator 66 unchanged.

6 + 44/66 = 50/66

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 50 and 66, which is 2. Divide both the numerator and denominator by 2.

50 ÷ 2/66 ÷ 2 = 25/33

Step 5

Decimal & Percentage Representation

Dividing the numerator 25 by denominator 33 produces a repeating decimal (approximately 0.757576, or 75.7576%).

25 ÷ 33 = 0.757576 (75.7576%)

Visual Representation

The diagram below illustrates 2/22 plus 4/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/33`
Mixed Number Form	`25/33`
Decimal Form	`0.757576`
Percentage	`75.7576%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/22 plus 4/6 as a fraction?

2/22 + 4/6 in simplest fraction form is 25/33.

What is 2/22 plus 4/6 as a decimal?

2/22 + 4/6 converted to a decimal is 0.757576.

What is 2/22 plus 4/6 as a percentage?

2/22 + 4/6 expressed as a percentage is 75.7576%.

Does 2/22 plus 4/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.757576...) because the denominator contains prime factors other than 2 and 5.