What is 7/17 plus 2/4? (Answer: 31/34)

Exact Answer

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Problem: What is 7/17 plus 2/4?
Formula / Expression: 7/17 + 2/4
Final Answer: 31/34
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 17 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 17 × 4 = 68.
Working: LCD(17, 4) = 68

Step 2: Convert to Equivalent Fractions with Common Denominator 68
Multiply the numerator and denominator of 7/17 by 4, and multiply the numerator and denominator of 2/4 by 17 so both fractions share the common base 68.
Working: 7 × 4/17 × 4 = 28/68 and 2 × 17/4 × 17 = 34/68

Step 3: Add the Numerators
Now add the numerators (28 + 34 = 62) and keep the common denominator 68 unchanged.
Working: 28 + 34/68 = 62/68

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 62 and 68, which is 2. Divide both the numerator and denominator by 2.
Working: 62 ÷ 2/68 ÷ 2 = 31/34

Step 5: Decimal & Percentage Representation
Dividing the numerator 31 by denominator 34 produces a repeating decimal (approximately 0.911765, or 91.1765%).
Working: 31 ÷ 34 = 0.911765 (91.1765%)

Key Values:
- Simplified Fraction: 31/34
- Mixed Number Form: 31/34
- Decimal Value: 0.911765
- Percentage: 91.1765%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-7-17-plus-2-4/
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7/17 + 2/4 = 31/34

Simplified Fraction

31/34

Mixed Number

Proper (31/34)

Decimal Value

0.911765

Percentage

91.1765%

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Step-by-Step Solution: 7/17 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 17 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 17 × 4 = 68.

LCD(17, 4) = 68

Step 2

Convert to Equivalent Fractions with Common Denominator 68

Multiply the numerator and denominator of 7/17 by 4, and multiply the numerator and denominator of 2/4 by 17 so both fractions share the common base 68.

7 × 4/17 × 4 = 28/68 and 2 × 17/4 × 17 = 34/68

Step 3

Add the Numerators

Now add the numerators (28 + 34 = 62) and keep the common denominator 68 unchanged.

28 + 34/68 = 62/68

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 62 and 68, which is 2. Divide both the numerator and denominator by 2.

62 ÷ 2/68 ÷ 2 = 31/34

Step 5

Decimal & Percentage Representation

Dividing the numerator 31 by denominator 34 produces a repeating decimal (approximately 0.911765, or 91.1765%).

31 ÷ 34 = 0.911765 (91.1765%)

Visual Representation

The diagram below illustrates 7/17 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`31/34`
Mixed Number Form	`31/34`
Decimal Form	`0.911765`
Percentage	`91.1765%`

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Frequently Asked Questions

What is 7/17 plus 2/4 as a fraction?

7/17 + 2/4 in simplest fraction form is 31/34.

What is 7/17 plus 2/4 as a decimal?

7/17 + 2/4 converted to a decimal is 0.911765.

What is 7/17 plus 2/4 as a percentage?

7/17 + 2/4 expressed as a percentage is 91.1765%.

Does 7/17 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.911765...) because the denominator contains prime factors other than 2 and 5.