What is 2/20 plus 2/14? (Answer: 17/70)

Exact Answer

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Problem: What is 2/20 plus 2/14?
Formula / Expression: 2/20 + 2/14
Final Answer: 17/70
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 20 and 14 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 140 (which is smaller than their product 20 × 14 = 280, keeping the calculation simpler).
Working: LCD(20, 14) = 140

Step 2: Convert to Equivalent Fractions with Common Denominator 140
Multiply the numerator and denominator of 2/20 by 7, and multiply the numerator and denominator of 2/14 by 10 so both fractions share the common base 140.
Working: 2 × 7/20 × 7 = 14/140 and 2 × 10/14 × 10 = 20/140

Step 3: Add the Numerators
Now add the numerators (14 + 20 = 34) and keep the common denominator 140 unchanged.
Working: 14 + 20/140 = 34/140

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 34 and 140, which is 2. Divide both the numerator and denominator by 2.
Working: 34 ÷ 2/140 ÷ 2 = 17/70

Step 5: Decimal & Percentage Representation
Dividing the numerator 17 by denominator 70 produces a repeating decimal (approximately 0.242857, or 24.2857%).
Working: 17 ÷ 70 = 0.242857 (24.2857%)

Key Values:
- Simplified Fraction: 17/70
- Mixed Number Form: 17/70
- Decimal Value: 0.242857
- Percentage: 24.2857%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-20-plus-2-14/
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2/20 + 2/14 = 17/70

Simplified Fraction

17/70

Mixed Number

Proper (17/70)

Decimal Value

0.242857

Percentage

24.2857%

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Step-by-Step Solution: 2/20 + 2/14

Step 1

Find the Least Common Denominator (LCD)

The denominators 20 and 14 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 140 (which is smaller than their product 20 × 14 = 280, keeping the calculation simpler).

LCD(20, 14) = 140

Step 2

Convert to Equivalent Fractions with Common Denominator 140

Multiply the numerator and denominator of 2/20 by 7, and multiply the numerator and denominator of 2/14 by 10 so both fractions share the common base 140.

2 × 7/20 × 7 = 14/140 and 2 × 10/14 × 10 = 20/140

Step 3

Add the Numerators

Now add the numerators (14 + 20 = 34) and keep the common denominator 140 unchanged.

14 + 20/140 = 34/140

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 34 and 140, which is 2. Divide both the numerator and denominator by 2.

34 ÷ 2/140 ÷ 2 = 17/70

Step 5

Decimal & Percentage Representation

Dividing the numerator 17 by denominator 70 produces a repeating decimal (approximately 0.242857, or 24.2857%).

17 ÷ 70 = 0.242857 (24.2857%)

Visual Representation

The diagram below illustrates 2/20 plus 2/14 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/70`
Mixed Number Form	`17/70`
Decimal Form	`0.242857`
Percentage	`24.2857%`

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Frequently Asked Questions

What is 2/20 plus 2/14 as a fraction?

2/20 + 2/14 in simplest fraction form is 17/70.

What is 2/20 plus 2/14 as a decimal?

2/20 + 2/14 converted to a decimal is 0.242857.

What is 2/20 plus 2/14 as a percentage?

2/20 + 2/14 expressed as a percentage is 24.2857%.

Does 2/20 plus 2/14 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.242857...) because the denominator contains prime factors other than 2 and 5.