What is 2/30 plus 2/3? (Answer: 11/15)

Exact Answer

==================================================
Problem: What is 2/30 plus 2/3?
Formula / Expression: 2/30 + 2/3
Final Answer: 11/15
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 30 is an exact multiple of 3 (3 × 10 = 30). The Least Common Denominator (LCD) is simply 30, meaning we only need to scale one fraction.
Working: LCD(30, 3) = 30

Step 2: Convert to Equivalent Fractions with Common Denominator 30
Multiply the numerator and denominator of 2/30 by 1, and multiply the numerator and denominator of 2/3 by 10 so both fractions share the common base 30.
Working: 2 × 1/30 × 1 = 2/30 and 2 × 10/3 × 10 = 20/30

Step 3: Add the Numerators
Now add the numerators (2 + 20 = 22) and keep the common denominator 30 unchanged.
Working: 2 + 20/30 = 22/30

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 22 and 30, which is 2. Divide both the numerator and denominator by 2.
Working: 22 ÷ 2/30 ÷ 2 = 11/15

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 15 produces a repeating decimal (approximately 0.733333, or 73.3333%).
Working: 11 ÷ 15 = 0.733333 (73.3333%)

Key Values:
- Simplified Fraction: 11/15
- Mixed Number Form: 11/15
- Decimal Value: 0.733333
- Percentage: 73.3333%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-30-plus-2-3/
==================================================

2/30 + 2/3 = 11/15

Simplified Fraction

11/15

Mixed Number

Proper (11/15)

Decimal Value

0.733333

Percentage

73.3333%

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: 2/30 + 2/3

Step 1

Find the Least Common Denominator (LCD)

Notice that 30 is an exact multiple of 3 (3 × 10 = 30). The Least Common Denominator (LCD) is simply 30, meaning we only need to scale one fraction.

LCD(30, 3) = 30

Step 2

Convert to Equivalent Fractions with Common Denominator 30

Multiply the numerator and denominator of 2/30 by 1, and multiply the numerator and denominator of 2/3 by 10 so both fractions share the common base 30.

2 × 1/30 × 1 = 2/30 and 2 × 10/3 × 10 = 20/30

Step 3

Add the Numerators

Now add the numerators (2 + 20 = 22) and keep the common denominator 30 unchanged.

2 + 20/30 = 22/30

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 22 and 30, which is 2. Divide both the numerator and denominator by 2.

22 ÷ 2/30 ÷ 2 = 11/15

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 15 produces a repeating decimal (approximately 0.733333, or 73.3333%).

11 ÷ 15 = 0.733333 (73.3333%)

Visual Representation

The diagram below illustrates 2/30 plus 2/3 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/15`
Mixed Number Form	`11/15`
Decimal Form	`0.733333`
Percentage	`73.3333%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/30 plus 2/3 as a fraction?

2/30 + 2/3 in simplest fraction form is 11/15.

What is 2/30 plus 2/3 as a decimal?

2/30 + 2/3 converted to a decimal is 0.733333.

What is 2/30 plus 2/3 as a percentage?

2/30 + 2/3 expressed as a percentage is 73.3333%.

Does 2/30 plus 2/3 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.733333...) because the denominator contains prime factors other than 2 and 5.