What is 5/32 plus 2/4? (Answer: 21/32)

Exact Answer

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Problem: What is 5/32 plus 2/4?
Formula / Expression: 5/32 + 2/4
Final Answer: 21/32
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 32 is an exact multiple of 4 (4 × 8 = 32). The Least Common Denominator (LCD) is simply 32, meaning we only need to scale one fraction.
Working: LCD(32, 4) = 32

Step 2: Convert to Equivalent Fractions with Common Denominator 32
Multiply the numerator and denominator of 5/32 by 1, and multiply the numerator and denominator of 2/4 by 8 so both fractions share the common base 32.
Working: 5 × 1/32 × 1 = 5/32 and 2 × 8/4 × 8 = 16/32

Step 3: Add the Numerators
Now add the numerators (5 + 16 = 21) and keep the common denominator 32 unchanged.
Working: 5 + 16/32 = 21/32

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 21 and 32 is 1, confirming that 21/32 cannot be reduced further—it is already in its simplest irreducible form.
Working: 21/32

Step 5: Decimal & Percentage Representation
Dividing the numerator 21 by denominator 32 yields an exact terminating decimal of 0.65625 (or 65.625%).
Working: 21 ÷ 32 = 0.65625 (65.625%)

Key Values:
- Simplified Fraction: 21/32
- Mixed Number Form: 21/32
- Decimal Value: 0.65625
- Percentage: 65.625%

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Solved with FractionsCalc:
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5/32 + 2/4 = 21/32

Simplified Fraction

21/32

Mixed Number

Proper (21/32)

Decimal Value

0.65625

Percentage

65.625%

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Step-by-Step Solution: 5/32 + 2/4

Step 1

Find the Least Common Denominator (LCD)

Notice that 32 is an exact multiple of 4 (4 × 8 = 32). The Least Common Denominator (LCD) is simply 32, meaning we only need to scale one fraction.

LCD(32, 4) = 32

Step 2

Convert to Equivalent Fractions with Common Denominator 32

Multiply the numerator and denominator of 5/32 by 1, and multiply the numerator and denominator of 2/4 by 8 so both fractions share the common base 32.

5 × 1/32 × 1 = 5/32 and 2 × 8/4 × 8 = 16/32

Step 3

Add the Numerators

Now add the numerators (5 + 16 = 21) and keep the common denominator 32 unchanged.

5 + 16/32 = 21/32

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 21 and 32 is 1, confirming that 21/32 cannot be reduced further—it is already in its simplest irreducible form.

21/32

Step 5

Decimal & Percentage Representation

Dividing the numerator 21 by denominator 32 yields an exact terminating decimal of 0.65625 (or 65.625%).

21 ÷ 32 = 0.65625 (65.625%)

Visual Representation

The diagram below illustrates 5/32 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`21/32`
Mixed Number Form	`21/32`
Decimal Form	`0.65625`
Percentage	`65.625%`

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Frequently Asked Questions

What is 5/32 plus 2/4 as a fraction?

5/32 + 2/4 in simplest fraction form is 21/32.

What is 5/32 plus 2/4 as a decimal?

5/32 + 2/4 converted to a decimal is 0.65625.

What is 5/32 plus 2/4 as a percentage?

5/32 + 2/4 expressed as a percentage is 65.625%.

Does 5/32 plus 2/4 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.65625) because the denominator in simplest terms contains only prime factors 2 and/or 5.