What is 2/8 plus 10/16? (Answer: 7/8)

Exact Answer

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Problem: What is 2/8 plus 10/16?
Formula / Expression: 2/8 + 10/16
Final Answer: 7/8
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 16 is an exact multiple of 8 (8 × 2 = 16). The Least Common Denominator (LCD) is simply 16, meaning we only need to scale one fraction.
Working: LCD(8, 16) = 16

Step 2: Convert to Equivalent Fractions with Common Denominator 16
Multiply the numerator and denominator of 2/8 by 2, and multiply the numerator and denominator of 10/16 by 1 so both fractions share the common base 16.
Working: 2 × 2/8 × 2 = 4/16 and 10 × 1/16 × 1 = 10/16

Step 3: Add the Numerators
Now add the numerators (4 + 10 = 14) and keep the common denominator 16 unchanged.
Working: 4 + 10/16 = 14/16

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 14 and 16, which is 2. Divide both the numerator and denominator by 2.
Working: 14 ÷ 2/16 ÷ 2 = 7/8

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 8 yields an exact terminating decimal of 0.875 (or 87.5%).
Working: 7 ÷ 8 = 0.875 (87.5%)

Key Values:
- Simplified Fraction: 7/8
- Mixed Number Form: 7/8
- Decimal Value: 0.875
- Percentage: 87.5%

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Solved with FractionsCalc:
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2/8 + 10/16 = 7/8

Simplified Fraction

7/8

Mixed Number

Proper (7/8)

Decimal Value

0.875

Percentage

87.5%

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Step-by-Step Solution: 2/8 + 10/16

Step 1

Find the Least Common Denominator (LCD)

Notice that 16 is an exact multiple of 8 (8 × 2 = 16). The Least Common Denominator (LCD) is simply 16, meaning we only need to scale one fraction.

LCD(8, 16) = 16

Step 2

Convert to Equivalent Fractions with Common Denominator 16

Multiply the numerator and denominator of 2/8 by 2, and multiply the numerator and denominator of 10/16 by 1 so both fractions share the common base 16.

2 × 2/8 × 2 = 4/16 and 10 × 1/16 × 1 = 10/16

Step 3

Add the Numerators

Now add the numerators (4 + 10 = 14) and keep the common denominator 16 unchanged.

4 + 10/16 = 14/16

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 14 and 16, which is 2. Divide both the numerator and denominator by 2.

14 ÷ 2/16 ÷ 2 = 7/8

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 8 yields an exact terminating decimal of 0.875 (or 87.5%).

7 ÷ 8 = 0.875 (87.5%)

Visual Representation

The diagram below illustrates 2/8 plus 10/16 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/8`
Mixed Number Form	`7/8`
Decimal Form	`0.875`
Percentage	`87.5%`

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Frequently Asked Questions

What is 2/8 plus 10/16 as a fraction?

2/8 + 10/16 in simplest fraction form is 7/8.

What is 2/8 plus 10/16 as a decimal?

2/8 + 10/16 converted to a decimal is 0.875.

What is 2/8 plus 10/16 as a percentage?

2/8 + 10/16 expressed as a percentage is 87.5%.

Does 2/8 plus 10/16 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.875) because the denominator in simplest terms contains only prime factors 2 and/or 5.