What is 2/24 plus 2/10? (Answer: 17/60)

Exact Answer

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Problem: What is 2/24 plus 2/10?
Formula / Expression: 2/24 + 2/10
Final Answer: 17/60
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 24 and 10 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 120 (which is smaller than their product 24 × 10 = 240, keeping the calculation simpler).
Working: LCD(24, 10) = 120

Step 2: Convert to Equivalent Fractions with Common Denominator 120
Multiply the numerator and denominator of 2/24 by 5, and multiply the numerator and denominator of 2/10 by 12 so both fractions share the common base 120.
Working: 2 × 5/24 × 5 = 10/120 and 2 × 12/10 × 12 = 24/120

Step 3: Add the Numerators
Now add the numerators (10 + 24 = 34) and keep the common denominator 120 unchanged.
Working: 10 + 24/120 = 34/120

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 34 and 120, which is 2. Divide both the numerator and denominator by 2.
Working: 34 ÷ 2/120 ÷ 2 = 17/60

Step 5: Decimal & Percentage Representation
Dividing the numerator 17 by denominator 60 produces a repeating decimal (approximately 0.283333, or 28.3333%).
Working: 17 ÷ 60 = 0.283333 (28.3333%)

Key Values:
- Simplified Fraction: 17/60
- Mixed Number Form: 17/60
- Decimal Value: 0.283333
- Percentage: 28.3333%

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Solved with FractionsCalc:
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2/24 + 2/10 = 17/60

Simplified Fraction

17/60

Mixed Number

Proper (17/60)

Decimal Value

0.283333

Percentage

28.3333%

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Step-by-Step Solution: 2/24 + 2/10

Step 1

Find the Least Common Denominator (LCD)

The denominators 24 and 10 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 120 (which is smaller than their product 24 × 10 = 240, keeping the calculation simpler).

LCD(24, 10) = 120

Step 2

Convert to Equivalent Fractions with Common Denominator 120

Multiply the numerator and denominator of 2/24 by 5, and multiply the numerator and denominator of 2/10 by 12 so both fractions share the common base 120.

2 × 5/24 × 5 = 10/120 and 2 × 12/10 × 12 = 24/120

Step 3

Add the Numerators

Now add the numerators (10 + 24 = 34) and keep the common denominator 120 unchanged.

10 + 24/120 = 34/120

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 34 and 120, which is 2. Divide both the numerator and denominator by 2.

34 ÷ 2/120 ÷ 2 = 17/60

Step 5

Decimal & Percentage Representation

Dividing the numerator 17 by denominator 60 produces a repeating decimal (approximately 0.283333, or 28.3333%).

17 ÷ 60 = 0.283333 (28.3333%)

Visual Representation

The diagram below illustrates 2/24 plus 2/10 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/60`
Mixed Number Form	`17/60`
Decimal Form	`0.283333`
Percentage	`28.3333%`

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Frequently Asked Questions

What is 2/24 plus 2/10 as a fraction?

2/24 + 2/10 in simplest fraction form is 17/60.

What is 2/24 plus 2/10 as a decimal?

2/24 + 2/10 converted to a decimal is 0.283333.

What is 2/24 plus 2/10 as a percentage?

2/24 + 2/10 expressed as a percentage is 28.3333%.

Does 2/24 plus 2/10 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.283333...) because the denominator contains prime factors other than 2 and 5.