What is 2/16 plus 5/10? (Answer: 5/8)

Exact Answer

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Problem: What is 2/16 plus 5/10?
Formula / Expression: 2/16 + 5/10
Final Answer: 5/8
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 16 and 10 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 80 (which is smaller than their product 16 × 10 = 160, keeping the calculation simpler).
Working: LCD(16, 10) = 80

Step 2: Convert to Equivalent Fractions with Common Denominator 80
Multiply the numerator and denominator of 2/16 by 5, and multiply the numerator and denominator of 5/10 by 8 so both fractions share the common base 80.
Working: 2 × 5/16 × 5 = 10/80 and 5 × 8/10 × 8 = 40/80

Step 3: Add the Numerators
Now add the numerators (10 + 40 = 50) and keep the common denominator 80 unchanged.
Working: 10 + 40/80 = 50/80

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 50 and 80, which is 10. Divide both the numerator and denominator by 10.
Working: 50 ÷ 10/80 ÷ 10 = 5/8

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 8 yields an exact terminating decimal of 0.625 (or 62.5%).
Working: 5 ÷ 8 = 0.625 (62.5%)

Key Values:
- Simplified Fraction: 5/8
- Mixed Number Form: 5/8
- Decimal Value: 0.625
- Percentage: 62.5%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-16-plus-5-10/
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2/16 + 5/10 = 5/8

Simplified Fraction

5/8

Mixed Number

Proper (5/8)

Decimal Value

0.625

Percentage

62.5%

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Step-by-Step Solution: 2/16 + 5/10

Step 1

Find the Least Common Denominator (LCD)

The denominators 16 and 10 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 80 (which is smaller than their product 16 × 10 = 160, keeping the calculation simpler).

LCD(16, 10) = 80

Step 2

Convert to Equivalent Fractions with Common Denominator 80

Multiply the numerator and denominator of 2/16 by 5, and multiply the numerator and denominator of 5/10 by 8 so both fractions share the common base 80.

2 × 5/16 × 5 = 10/80 and 5 × 8/10 × 8 = 40/80

Step 3

Add the Numerators

Now add the numerators (10 + 40 = 50) and keep the common denominator 80 unchanged.

10 + 40/80 = 50/80

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 50 and 80, which is 10. Divide both the numerator and denominator by 10.

50 ÷ 10/80 ÷ 10 = 5/8

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 8 yields an exact terminating decimal of 0.625 (or 62.5%).

5 ÷ 8 = 0.625 (62.5%)

Visual Representation

The diagram below illustrates 2/16 plus 5/10 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/8`
Mixed Number Form	`5/8`
Decimal Form	`0.625`
Percentage	`62.5%`

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Frequently Asked Questions

What is 2/16 plus 5/10 as a fraction?

2/16 + 5/10 in simplest fraction form is 5/8.

What is 2/16 plus 5/10 as a decimal?

2/16 + 5/10 converted to a decimal is 0.625.

What is 2/16 plus 5/10 as a percentage?

2/16 + 5/10 expressed as a percentage is 62.5%.

Does 2/16 plus 5/10 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.625) because the denominator in simplest terms contains only prime factors 2 and/or 5.