What is 2/9 plus 9/28? (Answer: 137/252)

Exact Answer

==================================================
Problem: What is 2/9 plus 9/28?
Formula / Expression: 2/9 + 9/28
Final Answer: 137/252
==================================================

Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 9 and 28 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 9 × 28 = 252.
Working: LCD(9, 28) = 252

Step 2: Convert to Equivalent Fractions with Common Denominator 252
Multiply the numerator and denominator of 2/9 by 28, and multiply the numerator and denominator of 9/28 by 9 so both fractions share the common base 252.
Working: 2 × 28/9 × 28 = 56/252 and 9 × 9/28 × 9 = 81/252

Step 3: Add the Numerators
Now add the numerators (56 + 81 = 137) and keep the common denominator 252 unchanged.
Working: 56 + 81/252 = 137/252

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 137 and 252 is 1, confirming that 137/252 cannot be reduced further—it is already in its simplest irreducible form.
Working: 137/252

Step 5: Decimal & Percentage Representation
Dividing the numerator 137 by denominator 252 produces a repeating decimal (approximately 0.543651, or 54.3651%).
Working: 137 ÷ 252 = 0.543651 (54.3651%)

Key Values:
- Simplified Fraction: 137/252
- Mixed Number Form: 137/252
- Decimal Value: 0.543651
- Percentage: 54.3651%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-9-plus-9-28/
==================================================

2/9 + 9/28 = 137/252

Simplified Fraction

137/252

Mixed Number

Proper (137/252)

Decimal Value

0.543651

Percentage

54.3651%

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: 2/9 + 9/28

Step 1

Find the Least Common Denominator (LCD)

The denominators 9 and 28 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 9 × 28 = 252.

LCD(9, 28) = 252

Step 2

Convert to Equivalent Fractions with Common Denominator 252

Multiply the numerator and denominator of 2/9 by 28, and multiply the numerator and denominator of 9/28 by 9 so both fractions share the common base 252.

2 × 28/9 × 28 = 56/252 and 9 × 9/28 × 9 = 81/252

Step 3

Add the Numerators

Now add the numerators (56 + 81 = 137) and keep the common denominator 252 unchanged.

56 + 81/252 = 137/252

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 137 and 252 is 1, confirming that 137/252 cannot be reduced further—it is already in its simplest irreducible form.

137/252

Step 5

Decimal & Percentage Representation

Dividing the numerator 137 by denominator 252 produces a repeating decimal (approximately 0.543651, or 54.3651%).

137 ÷ 252 = 0.543651 (54.3651%)

Visual Representation

The diagram below illustrates 2/9 plus 9/28 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`137/252`
Mixed Number Form	`137/252`
Decimal Form	`0.543651`
Percentage	`54.3651%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/9 plus 9/28 as a fraction?

2/9 + 9/28 in simplest fraction form is 137/252.

What is 2/9 plus 9/28 as a decimal?

2/9 + 9/28 converted to a decimal is 0.543651.

What is 2/9 plus 9/28 as a percentage?

2/9 + 9/28 expressed as a percentage is 54.3651%.

Does 2/9 plus 9/28 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.543651...) because the denominator contains prime factors other than 2 and 5.