What is 2/24 plus 2/16? (Answer: 5/24)

Exact Answer

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Problem: What is 2/24 plus 2/16?
Formula / Expression: 2/24 + 2/16
Final Answer: 5/24
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 24 and 16 share a common factor (GCD = 8). Finding their Least Common Multiple gives an LCD of 48 (which is smaller than their product 24 × 16 = 384, keeping the calculation simpler).
Working: LCD(24, 16) = 48

Step 2: Convert to Equivalent Fractions with Common Denominator 48
Multiply the numerator and denominator of 2/24 by 2, and multiply the numerator and denominator of 2/16 by 3 so both fractions share the common base 48.
Working: 2 × 2/24 × 2 = 4/48 and 2 × 3/16 × 3 = 6/48

Step 3: Add the Numerators
Now add the numerators (4 + 6 = 10) and keep the common denominator 48 unchanged.
Working: 4 + 6/48 = 10/48

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 10 and 48, which is 2. Divide both the numerator and denominator by 2.
Working: 10 ÷ 2/48 ÷ 2 = 5/24

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 24 produces a repeating decimal (approximately 0.208333, or 20.8333%).
Working: 5 ÷ 24 = 0.208333 (20.8333%)

Key Values:
- Simplified Fraction: 5/24
- Mixed Number Form: 5/24
- Decimal Value: 0.208333
- Percentage: 20.8333%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-24-plus-2-16/
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2/24 + 2/16 = 5/24

Simplified Fraction

5/24

Mixed Number

Proper (5/24)

Decimal Value

0.208333

Percentage

20.8333%

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Step-by-Step Solution: 2/24 + 2/16

Step 1

Find the Least Common Denominator (LCD)

The denominators 24 and 16 share a common factor (GCD = 8). Finding their Least Common Multiple gives an LCD of 48 (which is smaller than their product 24 × 16 = 384, keeping the calculation simpler).

LCD(24, 16) = 48

Step 2

Convert to Equivalent Fractions with Common Denominator 48

Multiply the numerator and denominator of 2/24 by 2, and multiply the numerator and denominator of 2/16 by 3 so both fractions share the common base 48.

2 × 2/24 × 2 = 4/48 and 2 × 3/16 × 3 = 6/48

Step 3

Add the Numerators

Now add the numerators (4 + 6 = 10) and keep the common denominator 48 unchanged.

4 + 6/48 = 10/48

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 10 and 48, which is 2. Divide both the numerator and denominator by 2.

10 ÷ 2/48 ÷ 2 = 5/24

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 24 produces a repeating decimal (approximately 0.208333, or 20.8333%).

5 ÷ 24 = 0.208333 (20.8333%)

Visual Representation

The diagram below illustrates 2/24 plus 2/16 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/24`
Mixed Number Form	`5/24`
Decimal Form	`0.208333`
Percentage	`20.8333%`

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Frequently Asked Questions

What is 2/24 plus 2/16 as a fraction?

2/24 + 2/16 in simplest fraction form is 5/24.

What is 2/24 plus 2/16 as a decimal?

2/24 + 2/16 converted to a decimal is 0.208333.

What is 2/24 plus 2/16 as a percentage?

2/24 + 2/16 expressed as a percentage is 20.8333%.

Does 2/24 plus 2/16 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.208333...) because the denominator contains prime factors other than 2 and 5.