What is 9/17 plus 3/4?
9/17 plus 3/4 equals 87/68 (or 1 19/68 as a mixed number) (or 1.279412 in decimal form). Learn the step-by-step solution to add 9/17 and 3/4 using Least Common Denominator and simplification.
Exact Answer
9/17 + 3/4 = 87/68
Simplified Fraction
87/68
Mixed Number
1 19/68
Decimal Value
1.279412
Percentage
127.9412%
Step-by-Step Solution: 9/17 + 3/4
Step 1
Find the Least Common Denominator (LCD)
The denominators 17 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 17 × 4 = 68.
LCD(17, 4) = 68
Step 2
Convert to Equivalent Fractions with Common Denominator 68
Multiply the numerator and denominator of 9/17 by 4, and multiply the numerator and denominator of 3/4 by 17 so both fractions share the common base 68.
9 × 4/17 × 4 = 36/68 and 3 × 17/4 × 17 = 51/68
Step 3
Add the Numerators
Now add the numerators (36 + 51 = 87) and keep the common denominator 68 unchanged.
36 + 51/68 = 87/68
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 87 and 68 is 1, confirming that 87/68 cannot be reduced further—it is already in its simplest irreducible form.
87/68
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (87) is greater than the denominator (68), divide 87 by 68: it goes in 1 whole time(s) with a remainder of 19, giving the mixed number 1 19/68.
87/68 = 119/68
Step 6
Decimal & Percentage Representation
Dividing the numerator 87 by denominator 68 produces a repeating decimal (approximately 1.279412, or 127.9412%).
87 ÷ 68 = 1.279412 (127.9412%)
Visual Representation
The diagram below illustrates 9/17 plus 3/4 visually:
+
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 87/68 |
| Mixed Number Form | 1 19/68 |
| Decimal Form | 1.279412 |
| Percentage | 127.9412% |
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Frequently Asked Questions
What is 9/17 plus 3/4 as a fraction?
9/17 + 3/4 in simplest fraction form is 87/68 (or 1 19/68 as a mixed number).
What is 9/17 plus 3/4 as a decimal?
9/17 + 3/4 converted to a decimal is 1.279412.
What is 9/17 plus 3/4 as a percentage?
9/17 + 3/4 expressed as a percentage is 127.9412%.
How do you write 9/17 plus 3/4 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 87/68 can be written as the mixed number 1 19/68.
Does 9/17 plus 3/4 result in a terminating or repeating decimal?
It results in a repeating decimal (approximately 1.279412...) because the denominator contains prime factors other than 2 and 5.