What is 2/46 plus 2/10? (Answer: 28/115)

Exact Answer

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Problem: What is 2/46 plus 2/10?
Formula / Expression: 2/46 + 2/10
Final Answer: 28/115
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 46 and 10 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 230 (which is smaller than their product 46 × 10 = 460, keeping the calculation simpler).
Working: LCD(46, 10) = 230

Step 2: Convert to Equivalent Fractions with Common Denominator 230
Multiply the numerator and denominator of 2/46 by 5, and multiply the numerator and denominator of 2/10 by 23 so both fractions share the common base 230.
Working: 2 × 5/46 × 5 = 10/230 and 2 × 23/10 × 23 = 46/230

Step 3: Add the Numerators
Now add the numerators (10 + 46 = 56) and keep the common denominator 230 unchanged.
Working: 10 + 46/230 = 56/230

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 56 and 230, which is 2. Divide both the numerator and denominator by 2.
Working: 56 ÷ 2/230 ÷ 2 = 28/115

Step 5: Decimal & Percentage Representation
Dividing the numerator 28 by denominator 115 produces a repeating decimal (approximately 0.243478, or 24.3478%).
Working: 28 ÷ 115 = 0.243478 (24.3478%)

Key Values:
- Simplified Fraction: 28/115
- Mixed Number Form: 28/115
- Decimal Value: 0.243478
- Percentage: 24.3478%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-46-plus-2-10/
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2/46 + 2/10 = 28/115

Simplified Fraction

28/115

Mixed Number

Proper (28/115)

Decimal Value

0.243478

Percentage

24.3478%

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Step-by-Step Solution: 2/46 + 2/10

Step 1

Find the Least Common Denominator (LCD)

The denominators 46 and 10 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 230 (which is smaller than their product 46 × 10 = 460, keeping the calculation simpler).

LCD(46, 10) = 230

Step 2

Convert to Equivalent Fractions with Common Denominator 230

Multiply the numerator and denominator of 2/46 by 5, and multiply the numerator and denominator of 2/10 by 23 so both fractions share the common base 230.

2 × 5/46 × 5 = 10/230 and 2 × 23/10 × 23 = 46/230

Step 3

Add the Numerators

Now add the numerators (10 + 46 = 56) and keep the common denominator 230 unchanged.

10 + 46/230 = 56/230

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 56 and 230, which is 2. Divide both the numerator and denominator by 2.

56 ÷ 2/230 ÷ 2 = 28/115

Step 5

Decimal & Percentage Representation

Dividing the numerator 28 by denominator 115 produces a repeating decimal (approximately 0.243478, or 24.3478%).

28 ÷ 115 = 0.243478 (24.3478%)

Visual Representation

The diagram below illustrates 2/46 plus 2/10 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`28/115`
Mixed Number Form	`28/115`
Decimal Form	`0.243478`
Percentage	`24.3478%`

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Frequently Asked Questions

What is 2/46 plus 2/10 as a fraction?

2/46 + 2/10 in simplest fraction form is 28/115.

What is 2/46 plus 2/10 as a decimal?

2/46 + 2/10 converted to a decimal is 0.243478.

What is 2/46 plus 2/10 as a percentage?

2/46 + 2/10 expressed as a percentage is 24.3478%.

Does 2/46 plus 2/10 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.243478...) because the denominator contains prime factors other than 2 and 5.