What is 1/10 plus 1/2? (Answer: 3/5)

Exact Answer

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Problem: What is 1/10 plus 1/2?
Formula / Expression: 1/10 + 1/2
Final Answer: 3/5
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 10 is an exact multiple of 2 (2 × 5 = 10). The Least Common Denominator (LCD) is simply 10, meaning we only need to scale one fraction.
Working: LCD(10, 2) = 10

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

Step 3: Add the Numerators
Now add the numerators (1 + 5 = 6) and keep the common denominator 10 unchanged.
Working: 1 + 5/10 = 6/10

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 6 and 10, which is 2. Divide both the numerator and denominator by 2.
Working: 6 ÷ 2/10 ÷ 2 = 3/5

Step 5: Decimal & Percentage Representation
Dividing the numerator 3 by denominator 5 yields an exact terminating decimal of 0.6 (or 60%).
Working: 3 ÷ 5 = 0.6 (60%)

Key Values:
- Simplified Fraction: 3/5
- Mixed Number Form: 3/5
- Decimal Value: 0.6
- Percentage: 60%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-10-plus-1-2/
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1/10 + 1/2 = 3/5

Simplified Fraction

3/5

Mixed Number

Proper (3/5)

Decimal Value

0.6

Percentage

60%

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Step-by-Step Solution: 1/10 + 1/2

Step 1

Find the Least Common Denominator (LCD)

Notice that 10 is an exact multiple of 2 (2 × 5 = 10). The Least Common Denominator (LCD) is simply 10, meaning we only need to scale one fraction.

LCD(10, 2) = 10

Step 2

Convert to Equivalent Fractions with Common Denominator 10

Multiply the numerator and denominator of 1/10 by 1, and multiply the numerator and denominator of 1/2 by 5 so both fractions share the common base 10.

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

Step 3

Add the Numerators

Now add the numerators (1 + 5 = 6) and keep the common denominator 10 unchanged.

1 + 5/10 = 6/10

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 6 and 10, which is 2. Divide both the numerator and denominator by 2.

6 ÷ 2/10 ÷ 2 = 3/5

Step 5

Decimal & Percentage Representation

Dividing the numerator 3 by denominator 5 yields an exact terminating decimal of 0.6 (or 60%).

3 ÷ 5 = 0.6 (60%)

Visual Representation

The diagram below illustrates 1/10 plus 1/2 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/5`
Mixed Number Form	`3/5`
Decimal Form	`0.6`
Percentage	`60%`

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Frequently Asked Questions

What is 1/10 plus 1/2 as a fraction?

1/10 + 1/2 in simplest fraction form is 3/5.

What is 1/10 plus 1/2 as a decimal?

1/10 + 1/2 converted to a decimal is 0.6.

What is 1/10 plus 1/2 as a percentage?

1/10 + 1/2 expressed as a percentage is 60%.

Does 1/10 plus 1/2 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.6) because the denominator in simplest terms contains only prime factors 2 and/or 5.