What is 5/36 plus 2/3? (Answer: 29/36)

Exact Answer

==================================================
Problem: What is 5/36 plus 2/3?
Formula / Expression: 5/36 + 2/3
Final Answer: 29/36
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 36 is an exact multiple of 3 (3 × 12 = 36). The Least Common Denominator (LCD) is simply 36, meaning we only need to scale one fraction.
Working: LCD(36, 3) = 36

Step 2: Convert to Equivalent Fractions with Common Denominator 36
Multiply the numerator and denominator of 5/36 by 1, and multiply the numerator and denominator of 2/3 by 12 so both fractions share the common base 36.
Working: 5 × 1/36 × 1 = 5/36 and 2 × 12/3 × 12 = 24/36

Step 3: Add the Numerators
Now add the numerators (5 + 24 = 29) and keep the common denominator 36 unchanged.
Working: 5 + 24/36 = 29/36

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 29 and 36 is 1, confirming that 29/36 cannot be reduced further—it is already in its simplest irreducible form.
Working: 29/36

Step 5: Decimal & Percentage Representation
Dividing the numerator 29 by denominator 36 produces a repeating decimal (approximately 0.805556, or 80.5556%).
Working: 29 ÷ 36 = 0.805556 (80.5556%)

Key Values:
- Simplified Fraction: 29/36
- Mixed Number Form: 29/36
- Decimal Value: 0.805556
- Percentage: 80.5556%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-36-plus-2-3/
==================================================

5/36 + 2/3 = 29/36

Simplified Fraction

29/36

Mixed Number

Proper (29/36)

Decimal Value

0.805556

Percentage

80.5556%

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: 5/36 + 2/3

Step 1

Find the Least Common Denominator (LCD)

Notice that 36 is an exact multiple of 3 (3 × 12 = 36). The Least Common Denominator (LCD) is simply 36, meaning we only need to scale one fraction.

LCD(36, 3) = 36

Step 2

Convert to Equivalent Fractions with Common Denominator 36

Multiply the numerator and denominator of 5/36 by 1, and multiply the numerator and denominator of 2/3 by 12 so both fractions share the common base 36.

5 × 1/36 × 1 = 5/36 and 2 × 12/3 × 12 = 24/36

Step 3

Add the Numerators

Now add the numerators (5 + 24 = 29) and keep the common denominator 36 unchanged.

5 + 24/36 = 29/36

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 29 and 36 is 1, confirming that 29/36 cannot be reduced further—it is already in its simplest irreducible form.

29/36

Step 5

Decimal & Percentage Representation

Dividing the numerator 29 by denominator 36 produces a repeating decimal (approximately 0.805556, or 80.5556%).

29 ÷ 36 = 0.805556 (80.5556%)

Visual Representation

The diagram below illustrates 5/36 plus 2/3 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`29/36`
Mixed Number Form	`29/36`
Decimal Form	`0.805556`
Percentage	`80.5556%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 5/36 plus 2/3 as a fraction?

5/36 + 2/3 in simplest fraction form is 29/36.

What is 5/36 plus 2/3 as a decimal?

5/36 + 2/3 converted to a decimal is 0.805556.

What is 5/36 plus 2/3 as a percentage?

5/36 + 2/3 expressed as a percentage is 80.5556%.

Does 5/36 plus 2/3 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.805556...) because the denominator contains prime factors other than 2 and 5.