What is 2/5 plus 9/15? (Answer: 1)

Exact Answer

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Problem: What is 2/5 plus 9/15?
Formula / Expression: 2/5 + 9/15
Final Answer: 1
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 15 is an exact multiple of 5 (5 × 3 = 15). The Least Common Denominator (LCD) is simply 15, meaning we only need to scale one fraction.
Working: LCD(5, 15) = 15

Step 2: Convert to Equivalent Fractions with Common Denominator 15
Multiply the numerator and denominator of 2/5 by 3, and multiply the numerator and denominator of 9/15 by 1 so both fractions share the common base 15.
Working: 2 × 3/5 × 3 = 6/15 and 9 × 1/15 × 1 = 9/15

Step 3: Add the Numerators
Now add the numerators (6 + 9 = 15) and keep the common denominator 15 unchanged.
Working: 6 + 9/15 = 15/15

Step 4: Simplify to an Exact Whole Number
Notice that the numerator (15) is completely divisible by the denominator (15). Dividing 15 by 15 yields the whole number 1 with zero remainder.
Working: 15/15 = 1

Step 5: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).
Working: 1 ÷ 1 = 1 (100%)

Key Values:
- Simplified Fraction: 1
- Mixed Number Form: 1
- Decimal Value: 1
- Percentage: 100%

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Solved with FractionsCalc:
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2/5 + 9/15 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 2/5 + 9/15

Step 1

Find the Least Common Denominator (LCD)

Notice that 15 is an exact multiple of 5 (5 × 3 = 15). The Least Common Denominator (LCD) is simply 15, meaning we only need to scale one fraction.

LCD(5, 15) = 15

Step 2

Convert to Equivalent Fractions with Common Denominator 15

Multiply the numerator and denominator of 2/5 by 3, and multiply the numerator and denominator of 9/15 by 1 so both fractions share the common base 15.

2 × 3/5 × 3 = 6/15 and 9 × 1/15 × 1 = 9/15

Step 3

Add the Numerators

Now add the numerators (6 + 9 = 15) and keep the common denominator 15 unchanged.

6 + 9/15 = 15/15

Step 4

Simplify to an Exact Whole Number

Notice that the numerator (15) is completely divisible by the denominator (15). Dividing 15 by 15 yields the whole number 1 with zero remainder.

15/15 = 1

Step 5

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 1 yields an exact terminating decimal of 1 (or 100%).

1 ÷ 1 = 1 (100%)

Visual Representation

The diagram below illustrates 2/5 plus 9/15 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1`
Mixed Number Form	`1`
Decimal Form	`1`
Percentage	`100%`

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Frequently Asked Questions

What is 2/5 plus 9/15 as a fraction?

2/5 + 9/15 in simplest fraction form is 1.

What is 2/5 plus 9/15 as a decimal?

2/5 + 9/15 converted to a decimal is 1.

What is 2/5 plus 9/15 as a percentage?

2/5 + 9/15 expressed as a percentage is 100%.

Is the answer to 2/5 plus 9/15 a whole number?

Yes, 2/5 + 9/15 simplifies completely to the whole number 1 with no remaining fractional part.