What is 9/36 plus 4/9? (Answer: 25/36)

Exact Answer

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Problem: What is 9/36 plus 4/9?
Formula / Expression: 9/36 + 4/9
Final Answer: 25/36
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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(36, 9) = 36

Step 2: Convert to Equivalent Fractions with Common Denominator 36
Multiply the numerator and denominator of 9/36 by 1, and multiply the numerator and denominator of 4/9 by 4 so both fractions share the common base 36.
Working: 9 × 1/36 × 1 = 9/36 and 4 × 4/9 × 4 = 16/36

Step 3: Add the Numerators
Now add the numerators (9 + 16 = 25) and keep the common denominator 36 unchanged.
Working: 9 + 16/36 = 25/36

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 25 and 36 is 1, confirming that 25/36 cannot be reduced further—it is already in its simplest irreducible form.
Working: 25/36

Step 5: Decimal & Percentage Representation
Dividing the numerator 25 by denominator 36 produces a repeating decimal (approximately 0.694444, or 69.4444%).
Working: 25 ÷ 36 = 0.694444 (69.4444%)

Key Values:
- Simplified Fraction: 25/36
- Mixed Number Form: 25/36
- Decimal Value: 0.694444
- Percentage: 69.4444%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-9-36-plus-4-9/
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9/36 + 4/9 = 25/36

Simplified Fraction

25/36

Mixed Number

Proper (25/36)

Decimal Value

0.694444

Percentage

69.4444%

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Step-by-Step Solution: 9/36 + 4/9

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(36, 9) = 36

Step 2

Convert to Equivalent Fractions with Common Denominator 36

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

9 × 1/36 × 1 = 9/36 and 4 × 4/9 × 4 = 16/36

Step 3

Add the Numerators

Now add the numerators (9 + 16 = 25) and keep the common denominator 36 unchanged.

9 + 16/36 = 25/36

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 25 and 36 is 1, confirming that 25/36 cannot be reduced further—it is already in its simplest irreducible form.

25/36

Step 5

Decimal & Percentage Representation

Dividing the numerator 25 by denominator 36 produces a repeating decimal (approximately 0.694444, or 69.4444%).

25 ÷ 36 = 0.694444 (69.4444%)

Visual Representation

The diagram below illustrates 9/36 plus 4/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/36`
Mixed Number Form	`25/36`
Decimal Form	`0.694444`
Percentage	`69.4444%`

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Frequently Asked Questions

What is 9/36 plus 4/9 as a fraction?

9/36 + 4/9 in simplest fraction form is 25/36.

What is 9/36 plus 4/9 as a decimal?

9/36 + 4/9 converted to a decimal is 0.694444.

What is 9/36 plus 4/9 as a percentage?

9/36 + 4/9 expressed as a percentage is 69.4444%.

Does 9/36 plus 4/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.694444...) because the denominator contains prime factors other than 2 and 5.