What is 2/4 plus 8/15?
2/4 plus 8/15 equals 31/30 (or 1 1/30 as a mixed number) (or 1.033333 in decimal form). Learn the step-by-step solution to add 2/4 and 8/15 using Least Common Denominator and simplification.
Exact Answer
2/4 + 8/15 = 31/30
Simplified Fraction
31/30
Mixed Number
1 1/30
Decimal Value
1.033333
Percentage
103.3333%
Step-by-Step Solution: 2/4 + 8/15
Step 1
Find the Least Common Denominator (LCD)
The denominators 4 and 15 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 4 × 15 = 60.
LCD(4, 15) = 60
Step 2
Convert to Equivalent Fractions with Common Denominator 60
Multiply the numerator and denominator of 2/4 by 15, and multiply the numerator and denominator of 8/15 by 4 so both fractions share the common base 60.
2 × 15/4 × 15 = 30/60 and 8 × 4/15 × 4 = 32/60
Step 3
Add the Numerators
Now add the numerators (30 + 32 = 62) and keep the common denominator 60 unchanged.
30 + 32/60 = 62/60
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 62 and 60, which is 2. Divide both the numerator and denominator by 2.
62 ÷ 2/60 ÷ 2 = 31/30
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (31) is greater than the denominator (30), divide 31 by 30: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/30.
31/30 = 11/30
Step 6
Decimal & Percentage Representation
Dividing the numerator 31 by denominator 30 produces a repeating decimal (approximately 1.033333, or 103.3333%).
31 ÷ 30 = 1.033333 (103.3333%)
Visual Representation
The diagram below illustrates 2/4 plus 8/15 visually:
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=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 31/30 |
| Mixed Number Form | 1 1/30 |
| Decimal Form | 1.033333 |
| Percentage | 103.3333% |
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Frequently Asked Questions
What is 2/4 plus 8/15 as a fraction?
2/4 + 8/15 in simplest fraction form is 31/30 (or 1 1/30 as a mixed number).
What is 2/4 plus 8/15 as a decimal?
2/4 + 8/15 converted to a decimal is 1.033333.
What is 2/4 plus 8/15 as a percentage?
2/4 + 8/15 expressed as a percentage is 103.3333%.
How do you write 2/4 plus 8/15 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 31/30 can be written as the mixed number 1 1/30.
Does 2/4 plus 8/15 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.033333...) because the denominator contains prime factors other than 2 and 5.