What is 9/35 plus 2/4? (Answer: 53/70)

Exact Answer

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Problem: What is 9/35 plus 2/4?
Formula / Expression: 9/35 + 2/4
Final Answer: 53/70
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 35 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 35 × 4 = 140.
Working: LCD(35, 4) = 140

Step 2: Convert to Equivalent Fractions with Common Denominator 140
Multiply the numerator and denominator of 9/35 by 4, and multiply the numerator and denominator of 2/4 by 35 so both fractions share the common base 140.
Working: 9 × 4/35 × 4 = 36/140 and 2 × 35/4 × 35 = 70/140

Step 3: Add the Numerators
Now add the numerators (36 + 70 = 106) and keep the common denominator 140 unchanged.
Working: 36 + 70/140 = 106/140

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 106 and 140, which is 2. Divide both the numerator and denominator by 2.
Working: 106 ÷ 2/140 ÷ 2 = 53/70

Step 5: Decimal & Percentage Representation
Dividing the numerator 53 by denominator 70 produces a repeating decimal (approximately 0.757143, or 75.7143%).
Working: 53 ÷ 70 = 0.757143 (75.7143%)

Key Values:
- Simplified Fraction: 53/70
- Mixed Number Form: 53/70
- Decimal Value: 0.757143
- Percentage: 75.7143%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-9-35-plus-2-4/
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9/35 + 2/4 = 53/70

Simplified Fraction

53/70

Mixed Number

Proper (53/70)

Decimal Value

0.757143

Percentage

75.7143%

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Step-by-Step Solution: 9/35 + 2/4

Step 1

Find the Least Common Denominator (LCD)

The denominators 35 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 35 × 4 = 140.

LCD(35, 4) = 140

Step 2

Convert to Equivalent Fractions with Common Denominator 140

Multiply the numerator and denominator of 9/35 by 4, and multiply the numerator and denominator of 2/4 by 35 so both fractions share the common base 140.

9 × 4/35 × 4 = 36/140 and 2 × 35/4 × 35 = 70/140

Step 3

Add the Numerators

Now add the numerators (36 + 70 = 106) and keep the common denominator 140 unchanged.

36 + 70/140 = 106/140

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 106 and 140, which is 2. Divide both the numerator and denominator by 2.

106 ÷ 2/140 ÷ 2 = 53/70

Step 5

Decimal & Percentage Representation

Dividing the numerator 53 by denominator 70 produces a repeating decimal (approximately 0.757143, or 75.7143%).

53 ÷ 70 = 0.757143 (75.7143%)

Visual Representation

The diagram below illustrates 9/35 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`53/70`
Mixed Number Form	`53/70`
Decimal Form	`0.757143`
Percentage	`75.7143%`

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Frequently Asked Questions

What is 9/35 plus 2/4 as a fraction?

9/35 + 2/4 in simplest fraction form is 53/70.

What is 9/35 plus 2/4 as a decimal?

9/35 + 2/4 converted to a decimal is 0.757143.

What is 9/35 plus 2/4 as a percentage?

9/35 + 2/4 expressed as a percentage is 75.7143%.

Does 9/35 plus 2/4 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.757143...) because the denominator contains prime factors other than 2 and 5.