What is 6/9 plus 4/5?
6/9 plus 4/5 equals 22/15 (or 1 7/15 as a mixed number) (or 1.466667 in decimal form). Learn the step-by-step solution to add 6/9 and 4/5 using Least Common Denominator and simplification.
Exact Answer
6/9 + 4/5 = 22/15
Simplified Fraction
22/15
Mixed Number
1 7/15
Decimal Value
1.466667
Percentage
146.6667%
Step-by-Step Solution: 6/9 + 4/5
Step 1
Find the Least Common Denominator (LCD)
The denominators 9 and 5 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 9 × 5 = 45.
LCD(9, 5) = 45
Step 2
Convert to Equivalent Fractions with Common Denominator 45
Multiply the numerator and denominator of 6/9 by 5, and multiply the numerator and denominator of 4/5 by 9 so both fractions share the common base 45.
6 × 5/9 × 5 = 30/45 and 4 × 9/5 × 9 = 36/45
Step 3
Add the Numerators
Now add the numerators (30 + 36 = 66) and keep the common denominator 45 unchanged.
30 + 36/45 = 66/45
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 66 and 45, which is 3. Divide both the numerator and denominator by 3.
66 ÷ 3/45 ÷ 3 = 22/15
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (22) is greater than the denominator (15), divide 22 by 15: it goes in 1 whole time(s) with a remainder of 7, giving the mixed number 1 7/15.
22/15 = 17/15
Step 6
Decimal & Percentage Representation
Dividing the numerator 22 by denominator 15 produces a repeating decimal (approximately 1.466667, or 146.6667%).
22 ÷ 15 = 1.466667 (146.6667%)
Visual Representation
The diagram below illustrates 6/9 plus 4/5 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 22/15 |
| Mixed Number Form | 1 7/15 |
| Decimal Form | 1.466667 |
| Percentage | 146.6667% |
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Frequently Asked Questions
What is 6/9 plus 4/5 as a fraction?
6/9 + 4/5 in simplest fraction form is 22/15 (or 1 7/15 as a mixed number).
What is 6/9 plus 4/5 as a decimal?
6/9 + 4/5 converted to a decimal is 1.466667.
What is 6/9 plus 4/5 as a percentage?
6/9 + 4/5 expressed as a percentage is 146.6667%.
How do you write 6/9 plus 4/5 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 22/15 can be written as the mixed number 1 7/15.
Does 6/9 plus 4/5 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.466667...) because the denominator contains prime factors other than 2 and 5.