What is 5/15 plus 2/3? (Answer: 1)

Exact Answer

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Problem: What is 5/15 plus 2/3?
Formula / Expression: 5/15 + 2/3
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 3 (3 × 5 = 15). The Least Common Denominator (LCD) is simply 15, meaning we only need to scale one fraction.
Working: LCD(15, 3) = 15

Step 2: Convert to Equivalent Fractions with Common Denominator 15
Multiply the numerator and denominator of 5/15 by 1, and multiply the numerator and denominator of 2/3 by 5 so both fractions share the common base 15.
Working: 5 × 1/15 × 1 = 5/15 and 2 × 5/3 × 5 = 10/15

Step 3: Add the Numerators
Now add the numerators (5 + 10 = 15) and keep the common denominator 15 unchanged.
Working: 5 + 10/15 = 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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5/15 + 2/3 = 1

Simplified Fraction

Mixed Number

Decimal Value

Percentage

100%

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Step-by-Step Solution: 5/15 + 2/3

Step 1

Find the Least Common Denominator (LCD)

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

LCD(15, 3) = 15

Step 2

Convert to Equivalent Fractions with Common Denominator 15

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

5 × 1/15 × 1 = 5/15 and 2 × 5/3 × 5 = 10/15

Step 3

Add the Numerators

Now add the numerators (5 + 10 = 15) and keep the common denominator 15 unchanged.

5 + 10/15 = 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 5/15 plus 2/3 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 5/15 plus 2/3 as a fraction?

5/15 + 2/3 in simplest fraction form is 1.

What is 5/15 plus 2/3 as a decimal?

5/15 + 2/3 converted to a decimal is 1.

What is 5/15 plus 2/3 as a percentage?

5/15 + 2/3 expressed as a percentage is 100%.

Is the answer to 5/15 plus 2/3 a whole number?

Yes, 5/15 + 2/3 simplifies completely to the whole number 1 with no remaining fractional part.