What is 2/4 plus 10/17?
2/4 plus 10/17 equals 37/34 (or 1 3/34 as a mixed number) (or 1.088235 in decimal form). Learn the step-by-step solution to add 2/4 and 10/17 using Least Common Denominator and simplification.
Exact Answer
2/4 + 10/17 = 37/34
Simplified Fraction
37/34
Mixed Number
1 3/34
Decimal Value
1.088235
Percentage
108.8235%
Step-by-Step Solution: 2/4 + 10/17
Step 1
Find the Least Common Denominator (LCD)
The denominators 4 and 17 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 4 × 17 = 68.
LCD(4, 17) = 68
Step 2
Convert to Equivalent Fractions with Common Denominator 68
Multiply the numerator and denominator of 2/4 by 17, and multiply the numerator and denominator of 10/17 by 4 so both fractions share the common base 68.
2 × 17/4 × 17 = 34/68 and 10 × 4/17 × 4 = 40/68
Step 3
Add the Numerators
Now add the numerators (34 + 40 = 74) and keep the common denominator 68 unchanged.
34 + 40/68 = 74/68
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 74 and 68, which is 2. Divide both the numerator and denominator by 2.
74 ÷ 2/68 ÷ 2 = 37/34
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (37) is greater than the denominator (34), divide 37 by 34: it goes in 1 whole time(s) with a remainder of 3, giving the mixed number 1 3/34.
37/34 = 13/34
Step 6
Decimal & Percentage Representation
Dividing the numerator 37 by denominator 34 produces a repeating decimal (approximately 1.088235, or 108.8235%).
37 ÷ 34 = 1.088235 (108.8235%)
Visual Representation
The diagram below illustrates 2/4 plus 10/17 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/34 |
| Mixed Number Form | 1 3/34 |
| Decimal Form | 1.088235 |
| Percentage | 108.8235% |
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Frequently Asked Questions
What is 2/4 plus 10/17 as a fraction?
2/4 + 10/17 in simplest fraction form is 37/34 (or 1 3/34 as a mixed number).
What is 2/4 plus 10/17 as a decimal?
2/4 + 10/17 converted to a decimal is 1.088235.
What is 2/4 plus 10/17 as a percentage?
2/4 + 10/17 expressed as a percentage is 108.8235%.
How do you write 2/4 plus 10/17 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 37/34 can be written as the mixed number 1 3/34.
Does 2/4 plus 10/17 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.088235...) because the denominator contains prime factors other than 2 and 5.