What is 2/4 plus 6/9?
2/4 plus 6/9 equals 7/6 (or 1 1/6 as a mixed number) (or 1.166667 in decimal form). Learn the step-by-step solution to add 2/4 and 6/9 using Least Common Denominator and simplification.
Exact Answer
2/4 + 6/9 = 7/6
Simplified Fraction
7/6
Mixed Number
1 1/6
Decimal Value
1.166667
Percentage
116.6667%
Step-by-Step Solution: 2/4 + 6/9
Step 1
Find the Least Common Denominator (LCD)
The denominators 4 and 9 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 4 × 9 = 36.
LCD(4, 9) = 36
Step 2
Convert to Equivalent Fractions with Common Denominator 36
Multiply the numerator and denominator of 2/4 by 9, and multiply the numerator and denominator of 6/9 by 4 so both fractions share the common base 36.
2 × 9/4 × 9 = 18/36 and 6 × 4/9 × 4 = 24/36
Step 3
Add the Numerators
Now add the numerators (18 + 24 = 42) and keep the common denominator 36 unchanged.
18 + 24/36 = 42/36
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 42 and 36, which is 6. Divide both the numerator and denominator by 6.
42 ÷ 6/36 ÷ 6 = 7/6
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (7) is greater than the denominator (6), divide 7 by 6: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/6.
7/6 = 11/6
Step 6
Decimal & Percentage Representation
Dividing the numerator 7 by denominator 6 produces a repeating decimal (approximately 1.166667, or 116.6667%).
7 ÷ 6 = 1.166667 (116.6667%)
Visual Representation
The diagram below illustrates 2/4 plus 6/9 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/6 |
| Mixed Number Form | 1 1/6 |
| Decimal Form | 1.166667 |
| Percentage | 116.6667% |
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Frequently Asked Questions
What is 2/4 plus 6/9 as a fraction?
2/4 + 6/9 in simplest fraction form is 7/6 (or 1 1/6 as a mixed number).
What is 2/4 plus 6/9 as a decimal?
2/4 + 6/9 converted to a decimal is 1.166667.
What is 2/4 plus 6/9 as a percentage?
2/4 + 6/9 expressed as a percentage is 116.6667%.
How do you write 2/4 plus 6/9 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 7/6 can be written as the mixed number 1 1/6.
Does 2/4 plus 6/9 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.166667...) because the denominator contains prime factors other than 2 and 5.