What is 2/15 plus 6/9? (Answer: 4/5)

Exact Answer

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Problem: What is 2/15 plus 6/9?
Formula / Expression: 2/15 + 6/9
Final Answer: 4/5
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 15 and 9 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 45 (which is smaller than their product 15 × 9 = 135, keeping the calculation simpler).
Working: LCD(15, 9) = 45

Step 2: Convert to Equivalent Fractions with Common Denominator 45
Multiply the numerator and denominator of 2/15 by 3, and multiply the numerator and denominator of 6/9 by 5 so both fractions share the common base 45.
Working: 2 × 3/15 × 3 = 6/45 and 6 × 5/9 × 5 = 30/45

Step 3: Add the Numerators
Now add the numerators (6 + 30 = 36) and keep the common denominator 45 unchanged.
Working: 6 + 30/45 = 36/45

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 36 and 45, which is 9. Divide both the numerator and denominator by 9.
Working: 36 ÷ 9/45 ÷ 9 = 4/5

Step 5: Decimal & Percentage Representation
Dividing the numerator 4 by denominator 5 yields an exact terminating decimal of 0.8 (or 80%).
Working: 4 ÷ 5 = 0.8 (80%)

Key Values:
- Simplified Fraction: 4/5
- Mixed Number Form: 4/5
- Decimal Value: 0.8
- Percentage: 80%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-15-plus-6-9/
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2/15 + 6/9 = 4/5

Simplified Fraction

4/5

Mixed Number

Proper (4/5)

Decimal Value

0.8

Percentage

80%

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Step-by-Step Solution: 2/15 + 6/9

Step 1

Find the Least Common Denominator (LCD)

The denominators 15 and 9 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 45 (which is smaller than their product 15 × 9 = 135, keeping the calculation simpler).

LCD(15, 9) = 45

Step 2

Convert to Equivalent Fractions with Common Denominator 45

Multiply the numerator and denominator of 2/15 by 3, and multiply the numerator and denominator of 6/9 by 5 so both fractions share the common base 45.

2 × 3/15 × 3 = 6/45 and 6 × 5/9 × 5 = 30/45

Step 3

Add the Numerators

Now add the numerators (6 + 30 = 36) and keep the common denominator 45 unchanged.

6 + 30/45 = 36/45

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 36 and 45, which is 9. Divide both the numerator and denominator by 9.

36 ÷ 9/45 ÷ 9 = 4/5

Step 5

Decimal & Percentage Representation

Dividing the numerator 4 by denominator 5 yields an exact terminating decimal of 0.8 (or 80%).

4 ÷ 5 = 0.8 (80%)

Visual Representation

The diagram below illustrates 2/15 plus 6/9 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/5`
Mixed Number Form	`4/5`
Decimal Form	`0.8`
Percentage	`80%`

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Frequently Asked Questions

What is 2/15 plus 6/9 as a fraction?

2/15 + 6/9 in simplest fraction form is 4/5.

What is 2/15 plus 6/9 as a decimal?

2/15 + 6/9 converted to a decimal is 0.8.

What is 2/15 plus 6/9 as a percentage?

2/15 + 6/9 expressed as a percentage is 80%.

Does 2/15 plus 6/9 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.8) because the denominator in simplest terms contains only prime factors 2 and/or 5.