What is 1/9 plus 4/6? (Answer: 7/9)

Exact Answer

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Problem: What is 1/9 plus 4/6?
Formula / Expression: 1/9 + 4/6
Final Answer: 7/9
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 9 and 6 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 18 (which is smaller than their product 9 × 6 = 54, keeping the calculation simpler).
Working: LCD(9, 6) = 18

Step 2: Convert to Equivalent Fractions with Common Denominator 18
Multiply the numerator and denominator of 1/9 by 2, and multiply the numerator and denominator of 4/6 by 3 so both fractions share the common base 18.
Working: 1 × 2/9 × 2 = 2/18 and 4 × 3/6 × 3 = 12/18

Step 3: Add the Numerators
Now add the numerators (2 + 12 = 14) and keep the common denominator 18 unchanged.
Working: 2 + 12/18 = 14/18

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 14 and 18, which is 2. Divide both the numerator and denominator by 2.
Working: 14 ÷ 2/18 ÷ 2 = 7/9

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 9 produces a repeating decimal (approximately 0.777778, or 77.7778%).
Working: 7 ÷ 9 = 0.777778 (77.7778%)

Key Values:
- Simplified Fraction: 7/9
- Mixed Number Form: 7/9
- Decimal Value: 0.777778
- Percentage: 77.7778%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-9-plus-4-6/
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1/9 + 4/6 = 7/9

Simplified Fraction

7/9

Mixed Number

Proper (7/9)

Decimal Value

0.777778

Percentage

77.7778%

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Step-by-Step Solution: 1/9 + 4/6

Step 1

Find the Least Common Denominator (LCD)

The denominators 9 and 6 share a common factor (GCD = 3). Finding their Least Common Multiple gives an LCD of 18 (which is smaller than their product 9 × 6 = 54, keeping the calculation simpler).

LCD(9, 6) = 18

Step 2

Convert to Equivalent Fractions with Common Denominator 18

Multiply the numerator and denominator of 1/9 by 2, and multiply the numerator and denominator of 4/6 by 3 so both fractions share the common base 18.

1 × 2/9 × 2 = 2/18 and 4 × 3/6 × 3 = 12/18

Step 3

Add the Numerators

Now add the numerators (2 + 12 = 14) and keep the common denominator 18 unchanged.

2 + 12/18 = 14/18

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 14 and 18, which is 2. Divide both the numerator and denominator by 2.

14 ÷ 2/18 ÷ 2 = 7/9

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 9 produces a repeating decimal (approximately 0.777778, or 77.7778%).

7 ÷ 9 = 0.777778 (77.7778%)

Visual Representation

The diagram below illustrates 1/9 plus 4/6 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/9`
Mixed Number Form	`7/9`
Decimal Form	`0.777778`
Percentage	`77.7778%`

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Frequently Asked Questions

What is 1/9 plus 4/6 as a fraction?

1/9 + 4/6 in simplest fraction form is 7/9.

What is 1/9 plus 4/6 as a decimal?

1/9 + 4/6 converted to a decimal is 0.777778.

What is 1/9 plus 4/6 as a percentage?

1/9 + 4/6 expressed as a percentage is 77.7778%.

Does 1/9 plus 4/6 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.777778...) because the denominator contains prime factors other than 2 and 5.