What is 4/48 plus 2/9? (Answer: 11/36)

Exact Answer

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Problem: What is 4/48 plus 2/9?
Formula / Expression: 4/48 + 2/9
Final Answer: 11/36
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 48 and 9 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 144 (which is smaller than their product 48 × 9 = 432, keeping the calculation simpler).
Working: LCD(48, 9) = 144

Step 2: Convert to Equivalent Fractions with Common Denominator 144
Multiply the numerator and denominator of 4/48 by 3, and multiply the numerator and denominator of 2/9 by 16 so both fractions share the common base 144.
Working: 4 × 3/48 × 3 = 12/144 and 2 × 16/9 × 16 = 32/144

Step 3: Add the Numerators
Now add the numerators (12 + 32 = 44) and keep the common denominator 144 unchanged.
Working: 12 + 32/144 = 44/144

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 44 and 144, which is 4. Divide both the numerator and denominator by 4.
Working: 44 ÷ 4/144 ÷ 4 = 11/36

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 36 produces a repeating decimal (approximately 0.305556, or 30.5556%).
Working: 11 ÷ 36 = 0.305556 (30.5556%)

Key Values:
- Simplified Fraction: 11/36
- Mixed Number Form: 11/36
- Decimal Value: 0.305556
- Percentage: 30.5556%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-4-48-plus-2-9/
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4/48 + 2/9 = 11/36

Simplified Fraction

11/36

Mixed Number

Proper (11/36)

Decimal Value

0.305556

Percentage

30.5556%

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Step-by-Step Solution: 4/48 + 2/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 48 and 9 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 144 (which is smaller than their product 48 × 9 = 432, keeping the calculation simpler).

LCD(48, 9) = 144

Step 2

Convert to Equivalent Fractions with Common Denominator 144

Multiply the numerator and denominator of 4/48 by 3, and multiply the numerator and denominator of 2/9 by 16 so both fractions share the common base 144.

4 × 3/48 × 3 = 12/144 and 2 × 16/9 × 16 = 32/144

Step 3

Add the Numerators

Now add the numerators (12 + 32 = 44) and keep the common denominator 144 unchanged.

12 + 32/144 = 44/144

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 44 and 144, which is 4. Divide both the numerator and denominator by 4.

44 ÷ 4/144 ÷ 4 = 11/36

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 36 produces a repeating decimal (approximately 0.305556, or 30.5556%).

11 ÷ 36 = 0.305556 (30.5556%)

Visual Representation

The diagram below illustrates 4/48 plus 2/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/36`
Mixed Number Form	`11/36`
Decimal Form	`0.305556`
Percentage	`30.5556%`

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Frequently Asked Questions

What is 4/48 plus 2/9 as a fraction?

4/48 + 2/9 in simplest fraction form is 11/36.

What is 4/48 plus 2/9 as a decimal?

4/48 + 2/9 converted to a decimal is 0.305556.

What is 4/48 plus 2/9 as a percentage?

4/48 + 2/9 expressed as a percentage is 30.5556%.

Does 4/48 plus 2/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.305556...) because the denominator contains prime factors other than 2 and 5.