What is 2/28 plus 2/7? (Answer: 5/14)

Exact Answer

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Problem: What is 2/28 plus 2/7?
Formula / Expression: 2/28 + 2/7
Final Answer: 5/14
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 28 is an exact multiple of 7 (7 × 4 = 28). The Least Common Denominator (LCD) is simply 28, meaning we only need to scale one fraction.
Working: LCD(28, 7) = 28

Step 2: Convert to Equivalent Fractions with Common Denominator 28
Multiply the numerator and denominator of 2/28 by 1, and multiply the numerator and denominator of 2/7 by 4 so both fractions share the common base 28.
Working: 2 × 1/28 × 1 = 2/28 and 2 × 4/7 × 4 = 8/28

Step 3: Add the Numerators
Now add the numerators (2 + 8 = 10) and keep the common denominator 28 unchanged.
Working: 2 + 8/28 = 10/28

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 10 and 28, which is 2. Divide both the numerator and denominator by 2.
Working: 10 ÷ 2/28 ÷ 2 = 5/14

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 14 produces a repeating decimal (approximately 0.357143, or 35.7143%).
Working: 5 ÷ 14 = 0.357143 (35.7143%)

Key Values:
- Simplified Fraction: 5/14
- Mixed Number Form: 5/14
- Decimal Value: 0.357143
- Percentage: 35.7143%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-28-plus-2-7/
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2/28 + 2/7 = 5/14

Simplified Fraction

5/14

Mixed Number

Proper (5/14)

Decimal Value

0.357143

Percentage

35.7143%

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Step-by-Step Solution: 2/28 + 2/7

Step 1

Find the Least Common Denominator (LCD)

Notice that 28 is an exact multiple of 7 (7 × 4 = 28). The Least Common Denominator (LCD) is simply 28, meaning we only need to scale one fraction.

LCD(28, 7) = 28

Step 2

Convert to Equivalent Fractions with Common Denominator 28

Multiply the numerator and denominator of 2/28 by 1, and multiply the numerator and denominator of 2/7 by 4 so both fractions share the common base 28.

2 × 1/28 × 1 = 2/28 and 2 × 4/7 × 4 = 8/28

Step 3

Add the Numerators

Now add the numerators (2 + 8 = 10) and keep the common denominator 28 unchanged.

2 + 8/28 = 10/28

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 10 and 28, which is 2. Divide both the numerator and denominator by 2.

10 ÷ 2/28 ÷ 2 = 5/14

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 14 produces a repeating decimal (approximately 0.357143, or 35.7143%).

5 ÷ 14 = 0.357143 (35.7143%)

Visual Representation

The diagram below illustrates 2/28 plus 2/7 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/14`
Mixed Number Form	`5/14`
Decimal Form	`0.357143`
Percentage	`35.7143%`

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Frequently Asked Questions

What is 2/28 plus 2/7 as a fraction?

2/28 + 2/7 in simplest fraction form is 5/14.

What is 2/28 plus 2/7 as a decimal?

2/28 + 2/7 converted to a decimal is 0.357143.

What is 2/28 plus 2/7 as a percentage?

2/28 + 2/7 expressed as a percentage is 35.7143%.

Does 2/28 plus 2/7 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.357143...) because the denominator contains prime factors other than 2 and 5.