What is 5/28 plus 2/8? (Answer: 3/7)

Exact Answer

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Problem: What is 5/28 plus 2/8?
Formula / Expression: 5/28 + 2/8
Final Answer: 3/7
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 28 and 8 share a common factor (GCD = 4). Finding their Least Common Multiple gives an LCD of 56 (which is smaller than their product 28 × 8 = 224, keeping the calculation simpler).
Working: LCD(28, 8) = 56

Step 2: Convert to Equivalent Fractions with Common Denominator 56
Multiply the numerator and denominator of 5/28 by 2, and multiply the numerator and denominator of 2/8 by 7 so both fractions share the common base 56.
Working: 5 × 2/28 × 2 = 10/56 and 2 × 7/8 × 7 = 14/56

Step 3: Add the Numerators
Now add the numerators (10 + 14 = 24) and keep the common denominator 56 unchanged.
Working: 10 + 14/56 = 24/56

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 24 and 56, which is 8. Divide both the numerator and denominator by 8.
Working: 24 ÷ 8/56 ÷ 8 = 3/7

Step 5: Decimal & Percentage Representation
Dividing the numerator 3 by denominator 7 produces a repeating decimal (approximately 0.428571, or 42.8571%).
Working: 3 ÷ 7 = 0.428571 (42.8571%)

Key Values:
- Simplified Fraction: 3/7
- Mixed Number Form: 3/7
- Decimal Value: 0.428571
- Percentage: 42.8571%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-28-plus-2-8/
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5/28 + 2/8 = 3/7

Simplified Fraction

3/7

Mixed Number

Proper (3/7)

Decimal Value

0.428571

Percentage

42.8571%

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Step-by-Step Solution: 5/28 + 2/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 28 and 8 share a common factor (GCD = 4). Finding their Least Common Multiple gives an LCD of 56 (which is smaller than their product 28 × 8 = 224, keeping the calculation simpler).

LCD(28, 8) = 56

Step 2

Convert to Equivalent Fractions with Common Denominator 56

Multiply the numerator and denominator of 5/28 by 2, and multiply the numerator and denominator of 2/8 by 7 so both fractions share the common base 56.

5 × 2/28 × 2 = 10/56 and 2 × 7/8 × 7 = 14/56

Step 3

Add the Numerators

Now add the numerators (10 + 14 = 24) and keep the common denominator 56 unchanged.

10 + 14/56 = 24/56

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 24 and 56, which is 8. Divide both the numerator and denominator by 8.

24 ÷ 8/56 ÷ 8 = 3/7

Step 5

Decimal & Percentage Representation

Dividing the numerator 3 by denominator 7 produces a repeating decimal (approximately 0.428571, or 42.8571%).

3 ÷ 7 = 0.428571 (42.8571%)

Visual Representation

The diagram below illustrates 5/28 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/7`
Mixed Number Form	`3/7`
Decimal Form	`0.428571`
Percentage	`42.8571%`

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Frequently Asked Questions

What is 5/28 plus 2/8 as a fraction?

5/28 + 2/8 in simplest fraction form is 3/7.

What is 5/28 plus 2/8 as a decimal?

5/28 + 2/8 converted to a decimal is 0.428571.

What is 5/28 plus 2/8 as a percentage?

5/28 + 2/8 expressed as a percentage is 42.8571%.

Does 5/28 plus 2/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.428571...) because the denominator contains prime factors other than 2 and 5.