What is 4/16 plus 3/8? (Answer: 5/8)

Exact Answer

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Problem: What is 4/16 plus 3/8?
Formula / Expression: 4/16 + 3/8
Final Answer: 5/8
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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(16, 8) = 16

Step 2: Convert to Equivalent Fractions with Common Denominator 16
Multiply the numerator and denominator of 4/16 by 1, and multiply the numerator and denominator of 3/8 by 2 so both fractions share the common base 16.
Working: 4 × 1/16 × 1 = 4/16 and 3 × 2/8 × 2 = 6/16

Step 3: Add the Numerators
Now add the numerators (4 + 6 = 10) and keep the common denominator 16 unchanged.
Working: 4 + 6/16 = 10/16

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 10 and 16, which is 2. Divide both the numerator and denominator by 2.
Working: 10 ÷ 2/16 ÷ 2 = 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:
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4/16 + 3/8 = 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: 4/16 + 3/8

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(16, 8) = 16

Step 2

Convert to Equivalent Fractions with Common Denominator 16

Multiply the numerator and denominator of 4/16 by 1, and multiply the numerator and denominator of 3/8 by 2 so both fractions share the common base 16.

4 × 1/16 × 1 = 4/16 and 3 × 2/8 × 2 = 6/16

Step 3

Add the Numerators

Now add the numerators (4 + 6 = 10) and keep the common denominator 16 unchanged.

4 + 6/16 = 10/16

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 10 and 16, which is 2. Divide both the numerator and denominator by 2.

10 ÷ 2/16 ÷ 2 = 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 4/16 plus 3/8 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 4/16 plus 3/8 as a fraction?

4/16 + 3/8 in simplest fraction form is 5/8.

What is 4/16 plus 3/8 as a decimal?

4/16 + 3/8 converted to a decimal is 0.625.

What is 4/16 plus 3/8 as a percentage?

4/16 + 3/8 expressed as a percentage is 62.5%.

Does 4/16 plus 3/8 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.