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

Exact Answer

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Problem: What is 4/8 plus 5/6?
Formula / Expression: 4/8 + 5/6
Final Answer: 1 1/3 (4/3)
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 8 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 24 (which is smaller than their product 8 × 6 = 48, keeping the calculation simpler).
Working: LCD(8, 6) = 24

Step 2: Convert to Equivalent Fractions with Common Denominator 24
Multiply the numerator and denominator of 4/8 by 3, and multiply the numerator and denominator of 5/6 by 4 so both fractions share the common base 24.
Working: 4 × 3/8 × 3 = 12/24 and 5 × 4/6 × 4 = 20/24

Step 3: Add the Numerators
Now add the numerators (12 + 20 = 32) and keep the common denominator 24 unchanged.
Working: 12 + 20/24 = 32/24

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 32 and 24, which is 8. Divide both the numerator and denominator by 8.
Working: 32 ÷ 8/24 ÷ 8 = 4/3

Step 5: Convert Improper Fraction to a Mixed Number
Since the numerator (4) is greater than the denominator (3), divide 4 by 3: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/3.
Working: 4/3 = 1 1/3

Step 6: Decimal & Percentage Representation
Dividing the numerator 4 by denominator 3 produces a repeating decimal (approximately 1.333333, or 133.3333%).
Working: 4 ÷ 3 = 1.333333 (133.3333%)

Key Values:
- Simplified Fraction: 4/3
- Mixed Number Form: 1 1/3
- Decimal Value: 1.333333
- Percentage: 133.3333%

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Solved with FractionsCalc:
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4/8 + 5/6 = 4/3

Simplified Fraction

4/3

Mixed Number

1 1/3

Decimal Value

1.333333

Percentage

133.3333%

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Step-by-Step Solution: 4/8 + 5/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 8 and 6 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 24 (which is smaller than their product 8 × 6 = 48, keeping the calculation simpler).

LCD(8, 6) = 24

Step 2

Convert to Equivalent Fractions with Common Denominator 24

Multiply the numerator and denominator of 4/8 by 3, and multiply the numerator and denominator of 5/6 by 4 so both fractions share the common base 24.

4 × 3/8 × 3 = 12/24 and 5 × 4/6 × 4 = 20/24

Step 3

Add the Numerators

Now add the numerators (12 + 20 = 32) and keep the common denominator 24 unchanged.

12 + 20/24 = 32/24

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 32 and 24, which is 8. Divide both the numerator and denominator by 8.

32 ÷ 8/24 ÷ 8 = 4/3

Step 5

Convert Improper Fraction to a Mixed Number

Since the numerator (4) is greater than the denominator (3), divide 4 by 3: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/3.

4/3 = 11/3

Step 6

Decimal & Percentage Representation

Dividing the numerator 4 by denominator 3 produces a repeating decimal (approximately 1.333333, or 133.3333%).

4 ÷ 3 = 1.333333 (133.3333%)

Visual Representation

The diagram below illustrates 4/8 plus 5/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/3`
Mixed Number Form	`1 1/3`
Decimal Form	`1.333333`
Percentage	`133.3333%`

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Frequently Asked Questions

What is 4/8 plus 5/6 as a fraction?

4/8 + 5/6 in simplest fraction form is 4/3 (or 1 1/3 as a mixed number).

What is 4/8 plus 5/6 as a decimal?

4/8 + 5/6 converted to a decimal is 1.333333.

What is 4/8 plus 5/6 as a percentage?

4/8 + 5/6 expressed as a percentage is 133.3333%.

How do you write 4/8 plus 5/6 as a mixed number?

Because the numerator is greater than the denominator, the improper fraction 4/3 can be written as the mixed number 1 1/3.

Does 4/8 plus 5/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 1.333333...) because the denominator contains prime factors other than 2 and 5.