What is 2/10 plus 4/15? (Answer: 7/15)

Exact Answer

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Problem: What is 2/10 plus 4/15?
Formula / Expression: 2/10 + 4/15
Final Answer: 7/15
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 10 and 15 share a common factor (GCD = 5). Finding their Least Common Multiple gives an LCD of 30 (which is smaller than their product 10 × 15 = 150, keeping the calculation simpler).
Working: LCD(10, 15) = 30

Step 2: Convert to Equivalent Fractions with Common Denominator 30
Multiply the numerator and denominator of 2/10 by 3, and multiply the numerator and denominator of 4/15 by 2 so both fractions share the common base 30.
Working: 2 × 3/10 × 3 = 6/30 and 4 × 2/15 × 2 = 8/30

Step 3: Add the Numerators
Now add the numerators (6 + 8 = 14) and keep the common denominator 30 unchanged.
Working: 6 + 8/30 = 14/30

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 14 and 30, which is 2. Divide both the numerator and denominator by 2.
Working: 14 ÷ 2/30 ÷ 2 = 7/15

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 15 produces a repeating decimal (approximately 0.466667, or 46.6667%).
Working: 7 ÷ 15 = 0.466667 (46.6667%)

Key Values:
- Simplified Fraction: 7/15
- Mixed Number Form: 7/15
- Decimal Value: 0.466667
- Percentage: 46.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-10-plus-4-15/
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2/10 + 4/15 = 7/15

Simplified Fraction

7/15

Mixed Number

Proper (7/15)

Decimal Value

0.466667

Percentage

46.6667%

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Step-by-Step Solution: 2/10 + 4/15

Step 1

Find the Least Common Denominator (LCD)

The denominators 10 and 15 share a common factor (GCD = 5). Finding their Least Common Multiple gives an LCD of 30 (which is smaller than their product 10 × 15 = 150, keeping the calculation simpler).

LCD(10, 15) = 30

Step 2

Convert to Equivalent Fractions with Common Denominator 30

Multiply the numerator and denominator of 2/10 by 3, and multiply the numerator and denominator of 4/15 by 2 so both fractions share the common base 30.

2 × 3/10 × 3 = 6/30 and 4 × 2/15 × 2 = 8/30

Step 3

Add the Numerators

Now add the numerators (6 + 8 = 14) and keep the common denominator 30 unchanged.

6 + 8/30 = 14/30

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 14 and 30, which is 2. Divide both the numerator and denominator by 2.

14 ÷ 2/30 ÷ 2 = 7/15

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 15 produces a repeating decimal (approximately 0.466667, or 46.6667%).

7 ÷ 15 = 0.466667 (46.6667%)

Visual Representation

The diagram below illustrates 2/10 plus 4/15 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/15`
Mixed Number Form	`7/15`
Decimal Form	`0.466667`
Percentage	`46.6667%`

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Frequently Asked Questions

What is 2/10 plus 4/15 as a fraction?

2/10 + 4/15 in simplest fraction form is 7/15.

What is 2/10 plus 4/15 as a decimal?

2/10 + 4/15 converted to a decimal is 0.466667.

What is 2/10 plus 4/15 as a percentage?

2/10 + 4/15 expressed as a percentage is 46.6667%.

Does 2/10 plus 4/15 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.466667...) because the denominator contains prime factors other than 2 and 5.