What is 9/16 plus 3/5?
9/16 plus 3/5 equals 93/80 (or 1 13/80 as a mixed number) (or 1.1625 in decimal form). Learn the step-by-step solution to add 9/16 and 3/5 using Least Common Denominator and simplification.
Exact Answer
9/16 + 3/5 = 93/80
Simplified Fraction
93/80
Mixed Number
1 13/80
Decimal Value
1.1625
Percentage
116.25%
Step-by-Step Solution: 9/16 + 3/5
Step 1
Find the Least Common Denominator (LCD)
The denominators 16 and 5 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 16 × 5 = 80.
LCD(16, 5) = 80
Step 2
Convert to Equivalent Fractions with Common Denominator 80
Multiply the numerator and denominator of 9/16 by 5, and multiply the numerator and denominator of 3/5 by 16 so both fractions share the common base 80.
9 × 5/16 × 5 = 45/80 and 3 × 16/5 × 16 = 48/80
Step 3
Add the Numerators
Now add the numerators (45 + 48 = 93) and keep the common denominator 80 unchanged.
45 + 48/80 = 93/80
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 93 and 80 is 1, confirming that 93/80 cannot be reduced further—it is already in its simplest irreducible form.
93/80
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (93) is greater than the denominator (80), divide 93 by 80: it goes in 1 whole time(s) with a remainder of 13, giving the mixed number 1 13/80.
93/80 = 113/80
Step 6
Decimal & Percentage Representation
Dividing the numerator 93 by denominator 80 yields an exact terminating decimal of 1.1625 (or 116.25%).
93 ÷ 80 = 1.1625 (116.25%)
Visual Representation
The diagram below illustrates 9/16 plus 3/5 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 93/80 |
| Mixed Number Form | 1 13/80 |
| Decimal Form | 1.1625 |
| Percentage | 116.25% |
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Frequently Asked Questions
What is 9/16 plus 3/5 as a fraction?
9/16 + 3/5 in simplest fraction form is 93/80 (or 1 13/80 as a mixed number).
What is 9/16 plus 3/5 as a decimal?
9/16 + 3/5 converted to a decimal is 1.1625.
What is 9/16 plus 3/5 as a percentage?
9/16 + 3/5 expressed as a percentage is 116.25%.
How do you write 9/16 plus 3/5 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 93/80 can be written as the mixed number 1 13/80.
Does 9/16 plus 3/5 result in a terminating or repeating decimal?
It results in an exact terminating decimal (1.1625) because the denominator in simplest terms contains only prime factors 2 and/or 5.