What is 5/35 plus 2/8? (Answer: 11/28)

Exact Answer

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Problem: What is 5/35 plus 2/8?
Formula / Expression: 5/35 + 2/8
Final Answer: 11/28
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 35 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 35 × 8 = 280.
Working: LCD(35, 8) = 280

Step 2: Convert to Equivalent Fractions with Common Denominator 280
Multiply the numerator and denominator of 5/35 by 8, and multiply the numerator and denominator of 2/8 by 35 so both fractions share the common base 280.
Working: 5 × 8/35 × 8 = 40/280 and 2 × 35/8 × 35 = 70/280

Step 3: Add the Numerators
Now add the numerators (40 + 70 = 110) and keep the common denominator 280 unchanged.
Working: 40 + 70/280 = 110/280

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 110 and 280, which is 10. Divide both the numerator and denominator by 10.
Working: 110 ÷ 10/280 ÷ 10 = 11/28

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 28 produces a repeating decimal (approximately 0.392857, or 39.2857%).
Working: 11 ÷ 28 = 0.392857 (39.2857%)

Key Values:
- Simplified Fraction: 11/28
- Mixed Number Form: 11/28
- Decimal Value: 0.392857
- Percentage: 39.2857%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-5-35-plus-2-8/
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5/35 + 2/8 = 11/28

Simplified Fraction

11/28

Mixed Number

Proper (11/28)

Decimal Value

0.392857

Percentage

39.2857%

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Step-by-Step Solution: 5/35 + 2/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 35 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 35 × 8 = 280.

LCD(35, 8) = 280

Step 2

Convert to Equivalent Fractions with Common Denominator 280

Multiply the numerator and denominator of 5/35 by 8, and multiply the numerator and denominator of 2/8 by 35 so both fractions share the common base 280.

5 × 8/35 × 8 = 40/280 and 2 × 35/8 × 35 = 70/280

Step 3

Add the Numerators

Now add the numerators (40 + 70 = 110) and keep the common denominator 280 unchanged.

40 + 70/280 = 110/280

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 110 and 280, which is 10. Divide both the numerator and denominator by 10.

110 ÷ 10/280 ÷ 10 = 11/28

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 28 produces a repeating decimal (approximately 0.392857, or 39.2857%).

11 ÷ 28 = 0.392857 (39.2857%)

Visual Representation

The diagram below illustrates 5/35 plus 2/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/28`
Mixed Number Form	`11/28`
Decimal Form	`0.392857`
Percentage	`39.2857%`

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Frequently Asked Questions

What is 5/35 plus 2/8 as a fraction?

5/35 + 2/8 in simplest fraction form is 11/28.

What is 5/35 plus 2/8 as a decimal?

5/35 + 2/8 converted to a decimal is 0.392857.

What is 5/35 plus 2/8 as a percentage?

5/35 + 2/8 expressed as a percentage is 39.2857%.

Does 5/35 plus 2/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.392857...) because the denominator contains prime factors other than 2 and 5.