What is 2/6 plus 4/10? (Answer: 11/15)

Exact Answer

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Problem: What is 2/6 plus 4/10?
Formula / Expression: 2/6 + 4/10
Final Answer: 11/15
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 6 and 10 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 30 (which is smaller than their product 6 × 10 = 60, keeping the calculation simpler).
Working: LCD(6, 10) = 30

Step 2: Convert to Equivalent Fractions with Common Denominator 30
Multiply the numerator and denominator of 2/6 by 5, and multiply the numerator and denominator of 4/10 by 3 so both fractions share the common base 30.
Working: 2 × 5/6 × 5 = 10/30 and 4 × 3/10 × 3 = 12/30

Step 3: Add the Numerators
Now add the numerators (10 + 12 = 22) and keep the common denominator 30 unchanged.
Working: 10 + 12/30 = 22/30

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 22 and 30, which is 2. Divide both the numerator and denominator by 2.
Working: 22 ÷ 2/30 ÷ 2 = 11/15

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 15 produces a repeating decimal (approximately 0.733333, or 73.3333%).
Working: 11 ÷ 15 = 0.733333 (73.3333%)

Key Values:
- Simplified Fraction: 11/15
- Mixed Number Form: 11/15
- Decimal Value: 0.733333
- Percentage: 73.3333%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-6-plus-4-10/
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2/6 + 4/10 = 11/15

Simplified Fraction

11/15

Mixed Number

Proper (11/15)

Decimal Value

0.733333

Percentage

73.3333%

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Step-by-Step Solution: 2/6 + 4/10

Step 1

Find the Least Common Denominator (LCD)

The denominators 6 and 10 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 30 (which is smaller than their product 6 × 10 = 60, keeping the calculation simpler).

LCD(6, 10) = 30

Step 2

Convert to Equivalent Fractions with Common Denominator 30

Multiply the numerator and denominator of 2/6 by 5, and multiply the numerator and denominator of 4/10 by 3 so both fractions share the common base 30.

2 × 5/6 × 5 = 10/30 and 4 × 3/10 × 3 = 12/30

Step 3

Add the Numerators

Now add the numerators (10 + 12 = 22) and keep the common denominator 30 unchanged.

10 + 12/30 = 22/30

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 22 and 30, which is 2. Divide both the numerator and denominator by 2.

22 ÷ 2/30 ÷ 2 = 11/15

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 15 produces a repeating decimal (approximately 0.733333, or 73.3333%).

11 ÷ 15 = 0.733333 (73.3333%)

Visual Representation

The diagram below illustrates 2/6 plus 4/10 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/15`
Mixed Number Form	`11/15`
Decimal Form	`0.733333`
Percentage	`73.3333%`

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Frequently Asked Questions

What is 2/6 plus 4/10 as a fraction?

2/6 + 4/10 in simplest fraction form is 11/15.

What is 2/6 plus 4/10 as a decimal?

2/6 + 4/10 converted to a decimal is 0.733333.

What is 2/6 plus 4/10 as a percentage?

2/6 + 4/10 expressed as a percentage is 73.3333%.

Does 2/6 plus 4/10 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.733333...) because the denominator contains prime factors other than 2 and 5.