What is 9/35 plus 2/7? (Answer: 19/35)

Exact Answer

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Problem: What is 9/35 plus 2/7?
Formula / Expression: 9/35 + 2/7
Final Answer: 19/35
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Step-by-Step Solution:

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

Step 2: Convert to Equivalent Fractions with Common Denominator 35
Multiply the numerator and denominator of 9/35 by 1, and multiply the numerator and denominator of 2/7 by 5 so both fractions share the common base 35.
Working: 9 × 1/35 × 1 = 9/35 and 2 × 5/7 × 5 = 10/35

Step 3: Add the Numerators
Now add the numerators (9 + 10 = 19) and keep the common denominator 35 unchanged.
Working: 9 + 10/35 = 19/35

Step 4: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 19 and 35 is 1, confirming that 19/35 cannot be reduced further—it is already in its simplest irreducible form.
Working: 19/35

Step 5: Decimal & Percentage Representation
Dividing the numerator 19 by denominator 35 produces a repeating decimal (approximately 0.542857, or 54.2857%).
Working: 19 ÷ 35 = 0.542857 (54.2857%)

Key Values:
- Simplified Fraction: 19/35
- Mixed Number Form: 19/35
- Decimal Value: 0.542857
- Percentage: 54.2857%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-9-35-plus-2-7/
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9/35 + 2/7 = 19/35

Simplified Fraction

19/35

Mixed Number

Proper (19/35)

Decimal Value

0.542857

Percentage

54.2857%

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Step-by-Step Solution: 9/35 + 2/7

Step 1

Find the Least Common Denominator (LCD)

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

LCD(35, 7) = 35

Step 2

Convert to Equivalent Fractions with Common Denominator 35

Multiply the numerator and denominator of 9/35 by 1, and multiply the numerator and denominator of 2/7 by 5 so both fractions share the common base 35.

9 × 1/35 × 1 = 9/35 and 2 × 5/7 × 5 = 10/35

Step 3

Add the Numerators

Now add the numerators (9 + 10 = 19) and keep the common denominator 35 unchanged.

9 + 10/35 = 19/35

Step 4

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 19 and 35 is 1, confirming that 19/35 cannot be reduced further—it is already in its simplest irreducible form.

19/35

Step 5

Decimal & Percentage Representation

Dividing the numerator 19 by denominator 35 produces a repeating decimal (approximately 0.542857, or 54.2857%).

19 ÷ 35 = 0.542857 (54.2857%)

Visual Representation

The diagram below illustrates 9/35 plus 2/7 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`19/35`
Mixed Number Form	`19/35`
Decimal Form	`0.542857`
Percentage	`54.2857%`

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Frequently Asked Questions

What is 9/35 plus 2/7 as a fraction?

9/35 + 2/7 in simplest fraction form is 19/35.

What is 9/35 plus 2/7 as a decimal?

9/35 + 2/7 converted to a decimal is 0.542857.

What is 9/35 plus 2/7 as a percentage?

9/35 + 2/7 expressed as a percentage is 54.2857%.

Does 9/35 plus 2/7 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.542857...) because the denominator contains prime factors other than 2 and 5.