What is 2/24 plus 4/9? (Answer: 19/36)

Exact Answer

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Problem: What is 2/24 plus 4/9?
Formula / Expression: 2/24 + 4/9
Final Answer: 19/36
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 24 and 9 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 72 (which is smaller than their product 24 × 9 = 216, keeping the calculation simpler).
Working: LCD(24, 9) = 72

Step 2: Convert to Equivalent Fractions with Common Denominator 72
Multiply the numerator and denominator of 2/24 by 3, and multiply the numerator and denominator of 4/9 by 8 so both fractions share the common base 72.
Working: 2 × 3/24 × 3 = 6/72 and 4 × 8/9 × 8 = 32/72

Step 3: Add the Numerators
Now add the numerators (6 + 32 = 38) and keep the common denominator 72 unchanged.
Working: 6 + 32/72 = 38/72

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 38 and 72, which is 2. Divide both the numerator and denominator by 2.
Working: 38 ÷ 2/72 ÷ 2 = 19/36

Step 5: Decimal & Percentage Representation
Dividing the numerator 19 by denominator 36 produces a repeating decimal (approximately 0.527778, or 52.7778%).
Working: 19 ÷ 36 = 0.527778 (52.7778%)

Key Values:
- Simplified Fraction: 19/36
- Mixed Number Form: 19/36
- Decimal Value: 0.527778
- Percentage: 52.7778%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-24-plus-4-9/
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2/24 + 4/9 = 19/36

Simplified Fraction

19/36

Mixed Number

Proper (19/36)

Decimal Value

0.527778

Percentage

52.7778%

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Step-by-Step Solution: 2/24 + 4/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 24 and 9 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 72 (which is smaller than their product 24 × 9 = 216, keeping the calculation simpler).

LCD(24, 9) = 72

Step 2

Convert to Equivalent Fractions with Common Denominator 72

Multiply the numerator and denominator of 2/24 by 3, and multiply the numerator and denominator of 4/9 by 8 so both fractions share the common base 72.

2 × 3/24 × 3 = 6/72 and 4 × 8/9 × 8 = 32/72

Step 3

Add the Numerators

Now add the numerators (6 + 32 = 38) and keep the common denominator 72 unchanged.

6 + 32/72 = 38/72

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 38 and 72, which is 2. Divide both the numerator and denominator by 2.

38 ÷ 2/72 ÷ 2 = 19/36

Step 5

Decimal & Percentage Representation

Dividing the numerator 19 by denominator 36 produces a repeating decimal (approximately 0.527778, or 52.7778%).

19 ÷ 36 = 0.527778 (52.7778%)

Visual Representation

The diagram below illustrates 2/24 plus 4/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/36`
Mixed Number Form	`19/36`
Decimal Form	`0.527778`
Percentage	`52.7778%`

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Frequently Asked Questions

What is 2/24 plus 4/9 as a fraction?

2/24 + 4/9 in simplest fraction form is 19/36.

What is 2/24 plus 4/9 as a decimal?

2/24 + 4/9 converted to a decimal is 0.527778.

What is 2/24 plus 4/9 as a percentage?

2/24 + 4/9 expressed as a percentage is 52.7778%.

Does 2/24 plus 4/9 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.527778...) because the denominator contains prime factors other than 2 and 5.