What is 2/9 plus 8/36? (Answer: 4/9)

Exact Answer

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Problem: What is 2/9 plus 8/36?
Formula / Expression: 2/9 + 8/36
Final Answer: 4/9
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 36 is an exact multiple of 9 (9 × 4 = 36). The Least Common Denominator (LCD) is simply 36, meaning we only need to scale one fraction.
Working: LCD(9, 36) = 36

Step 2: Convert to Equivalent Fractions with Common Denominator 36
Multiply the numerator and denominator of 2/9 by 4, and multiply the numerator and denominator of 8/36 by 1 so both fractions share the common base 36.
Working: 2 × 4/9 × 4 = 8/36 and 8 × 1/36 × 1 = 8/36

Step 3: Add the Numerators
Now add the numerators (8 + 8 = 16) and keep the common denominator 36 unchanged.
Working: 8 + 8/36 = 16/36

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 16 and 36, which is 4. Divide both the numerator and denominator by 4.
Working: 16 ÷ 4/36 ÷ 4 = 4/9

Step 5: Decimal & Percentage Representation
Dividing the numerator 4 by denominator 9 produces a repeating decimal (approximately 0.444444, or 44.4444%).
Working: 4 ÷ 9 = 0.444444 (44.4444%)

Key Values:
- Simplified Fraction: 4/9
- Mixed Number Form: 4/9
- Decimal Value: 0.444444
- Percentage: 44.4444%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-9-plus-8-36/
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2/9 + 8/36 = 4/9

Simplified Fraction

4/9

Mixed Number

Proper (4/9)

Decimal Value

0.444444

Percentage

44.4444%

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Step-by-Step Solution: 2/9 + 8/36

Step 1

Find the Least Common Denominator (LCD)

Notice that 36 is an exact multiple of 9 (9 × 4 = 36). The Least Common Denominator (LCD) is simply 36, meaning we only need to scale one fraction.

LCD(9, 36) = 36

Step 2

Convert to Equivalent Fractions with Common Denominator 36

Multiply the numerator and denominator of 2/9 by 4, and multiply the numerator and denominator of 8/36 by 1 so both fractions share the common base 36.

2 × 4/9 × 4 = 8/36 and 8 × 1/36 × 1 = 8/36

Step 3

Add the Numerators

Now add the numerators (8 + 8 = 16) and keep the common denominator 36 unchanged.

8 + 8/36 = 16/36

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 16 and 36, which is 4. Divide both the numerator and denominator by 4.

16 ÷ 4/36 ÷ 4 = 4/9

Step 5

Decimal & Percentage Representation

Dividing the numerator 4 by denominator 9 produces a repeating decimal (approximately 0.444444, or 44.4444%).

4 ÷ 9 = 0.444444 (44.4444%)

Visual Representation

The diagram below illustrates 2/9 plus 8/36 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/9`
Mixed Number Form	`4/9`
Decimal Form	`0.444444`
Percentage	`44.4444%`

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Frequently Asked Questions

What is 2/9 plus 8/36 as a fraction?

2/9 + 8/36 in simplest fraction form is 4/9.

What is 2/9 plus 8/36 as a decimal?

2/9 + 8/36 converted to a decimal is 0.444444.

What is 2/9 plus 8/36 as a percentage?

2/9 + 8/36 expressed as a percentage is 44.4444%.

Does 2/9 plus 8/36 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.444444...) because the denominator contains prime factors other than 2 and 5.