What is 2/35 plus 4/5? (Answer: 6/7)

Exact Answer

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Problem: What is 2/35 plus 4/5?
Formula / Expression: 2/35 + 4/5
Final Answer: 6/7
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 35 is an exact multiple of 5 (5 × 7 = 35). The Least Common Denominator (LCD) is simply 35, meaning we only need to scale one fraction.
Working: LCD(35, 5) = 35

Step 2: Convert to Equivalent Fractions with Common Denominator 35
Multiply the numerator and denominator of 2/35 by 1, and multiply the numerator and denominator of 4/5 by 7 so both fractions share the common base 35.
Working: 2 × 1/35 × 1 = 2/35 and 4 × 7/5 × 7 = 28/35

Step 3: Add the Numerators
Now add the numerators (2 + 28 = 30) and keep the common denominator 35 unchanged.
Working: 2 + 28/35 = 30/35

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 30 and 35, which is 5. Divide both the numerator and denominator by 5.
Working: 30 ÷ 5/35 ÷ 5 = 6/7

Step 5: Decimal & Percentage Representation
Dividing the numerator 6 by denominator 7 produces a repeating decimal (approximately 0.857143, or 85.7143%).
Working: 6 ÷ 7 = 0.857143 (85.7143%)

Key Values:
- Simplified Fraction: 6/7
- Mixed Number Form: 6/7
- Decimal Value: 0.857143
- Percentage: 85.7143%

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Solved with FractionsCalc:
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2/35 + 4/5 = 6/7

Simplified Fraction

6/7

Mixed Number

Proper (6/7)

Decimal Value

0.857143

Percentage

85.7143%

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Step-by-Step Solution: 2/35 + 4/5

Step 1

Find the Least Common Denominator (LCD)

Notice that 35 is an exact multiple of 5 (5 × 7 = 35). The Least Common Denominator (LCD) is simply 35, meaning we only need to scale one fraction.

LCD(35, 5) = 35

Step 2

Convert to Equivalent Fractions with Common Denominator 35

Multiply the numerator and denominator of 2/35 by 1, and multiply the numerator and denominator of 4/5 by 7 so both fractions share the common base 35.

2 × 1/35 × 1 = 2/35 and 4 × 7/5 × 7 = 28/35

Step 3

Add the Numerators

Now add the numerators (2 + 28 = 30) and keep the common denominator 35 unchanged.

2 + 28/35 = 30/35

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 30 and 35, which is 5. Divide both the numerator and denominator by 5.

30 ÷ 5/35 ÷ 5 = 6/7

Step 5

Decimal & Percentage Representation

Dividing the numerator 6 by denominator 7 produces a repeating decimal (approximately 0.857143, or 85.7143%).

6 ÷ 7 = 0.857143 (85.7143%)

Visual Representation

The diagram below illustrates 2/35 plus 4/5 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6/7`
Mixed Number Form	`6/7`
Decimal Form	`0.857143`
Percentage	`85.7143%`

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Frequently Asked Questions

What is 2/35 plus 4/5 as a fraction?

2/35 + 4/5 in simplest fraction form is 6/7.

What is 2/35 plus 4/5 as a decimal?

2/35 + 4/5 converted to a decimal is 0.857143.

What is 2/35 plus 4/5 as a percentage?

2/35 + 4/5 expressed as a percentage is 85.7143%.

Does 2/35 plus 4/5 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.857143...) because the denominator contains prime factors other than 2 and 5.