What is 3/9 plus 4/8? (Answer: 5/6)

Exact Answer

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Problem: What is 3/9 plus 4/8?
Formula / Expression: 3/9 + 4/8
Final Answer: 5/6
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 9 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 9 × 8 = 72.
Working: LCD(9, 8) = 72

Step 2: Convert to Equivalent Fractions with Common Denominator 72
Multiply the numerator and denominator of 3/9 by 8, and multiply the numerator and denominator of 4/8 by 9 so both fractions share the common base 72.
Working: 3 × 8/9 × 8 = 24/72 and 4 × 9/8 × 9 = 36/72

Step 3: Add the Numerators
Now add the numerators (24 + 36 = 60) and keep the common denominator 72 unchanged.
Working: 24 + 36/72 = 60/72

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 60 and 72, which is 12. Divide both the numerator and denominator by 12.
Working: 60 ÷ 12/72 ÷ 12 = 5/6

Step 5: Decimal & Percentage Representation
Dividing the numerator 5 by denominator 6 produces a repeating decimal (approximately 0.833333, or 83.3333%).
Working: 5 ÷ 6 = 0.833333 (83.3333%)

Key Values:
- Simplified Fraction: 5/6
- Mixed Number Form: 5/6
- Decimal Value: 0.833333
- Percentage: 83.3333%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-3-9-plus-4-8/
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3/9 + 4/8 = 5/6

Simplified Fraction

5/6

Mixed Number

Proper (5/6)

Decimal Value

0.833333

Percentage

83.3333%

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Step-by-Step Solution: 3/9 + 4/8

Step 1

Find the Least Common Denominator (LCD)

The denominators 9 and 8 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 9 × 8 = 72.

LCD(9, 8) = 72

Step 2

Convert to Equivalent Fractions with Common Denominator 72

Multiply the numerator and denominator of 3/9 by 8, and multiply the numerator and denominator of 4/8 by 9 so both fractions share the common base 72.

3 × 8/9 × 8 = 24/72 and 4 × 9/8 × 9 = 36/72

Step 3

Add the Numerators

Now add the numerators (24 + 36 = 60) and keep the common denominator 72 unchanged.

24 + 36/72 = 60/72

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 60 and 72, which is 12. Divide both the numerator and denominator by 12.

60 ÷ 12/72 ÷ 12 = 5/6

Step 5

Decimal & Percentage Representation

Dividing the numerator 5 by denominator 6 produces a repeating decimal (approximately 0.833333, or 83.3333%).

5 ÷ 6 = 0.833333 (83.3333%)

Visual Representation

The diagram below illustrates 3/9 plus 4/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/6`
Mixed Number Form	`5/6`
Decimal Form	`0.833333`
Percentage	`83.3333%`

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Frequently Asked Questions

What is 3/9 plus 4/8 as a fraction?

3/9 + 4/8 in simplest fraction form is 5/6.

What is 3/9 plus 4/8 as a decimal?

3/9 + 4/8 converted to a decimal is 0.833333.

What is 3/9 plus 4/8 as a percentage?

3/9 + 4/8 expressed as a percentage is 83.3333%.

Does 3/9 plus 4/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.833333...) because the denominator contains prime factors other than 2 and 5.