What is 9/15 plus 3/4?
9/15 plus 3/4 equals 27/20 (or 1 7/20 as a mixed number) (or 1.35 in decimal form). Learn the step-by-step solution to add 9/15 and 3/4 using Least Common Denominator and simplification.
Exact Answer
9/15 + 3/4 = 27/20
Simplified Fraction
27/20
Mixed Number
1 7/20
Decimal Value
1.35
Percentage
135%
Step-by-Step Solution: 9/15 + 3/4
Step 1
Find the Least Common Denominator (LCD)
The denominators 15 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 15 × 4 = 60.
LCD(15, 4) = 60
Step 2
Convert to Equivalent Fractions with Common Denominator 60
Multiply the numerator and denominator of 9/15 by 4, and multiply the numerator and denominator of 3/4 by 15 so both fractions share the common base 60.
9 × 4/15 × 4 = 36/60 and 3 × 15/4 × 15 = 45/60
Step 3
Add the Numerators
Now add the numerators (36 + 45 = 81) and keep the common denominator 60 unchanged.
36 + 45/60 = 81/60
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 81 and 60, which is 3. Divide both the numerator and denominator by 3.
81 ÷ 3/60 ÷ 3 = 27/20
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (27) is greater than the denominator (20), divide 27 by 20: it goes in 1 whole time(s) with a remainder of 7, giving the mixed number 1 7/20.
27/20 = 17/20
Step 6
Decimal & Percentage Representation
Dividing the numerator 27 by denominator 20 yields an exact terminating decimal of 1.35 (or 135%).
27 ÷ 20 = 1.35 (135%)
Visual Representation
The diagram below illustrates 9/15 plus 3/4 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 27/20 |
| Mixed Number Form | 1 7/20 |
| Decimal Form | 1.35 |
| Percentage | 135% |
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Frequently Asked Questions
What is 9/15 plus 3/4 as a fraction?
9/15 + 3/4 in simplest fraction form is 27/20 (or 1 7/20 as a mixed number).
What is 9/15 plus 3/4 as a decimal?
9/15 + 3/4 converted to a decimal is 1.35.
What is 9/15 plus 3/4 as a percentage?
9/15 + 3/4 expressed as a percentage is 135%.
How do you write 9/15 plus 3/4 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 27/20 can be written as the mixed number 1 7/20.
Does 9/15 plus 3/4 result in a terminating or repeating decimal?
It results in an exact terminating decimal (1.35) because the denominator in simplest terms contains only prime factors 2 and/or 5.