What is 9/25 plus 3/4?
9/25 plus 3/4 equals 111/100 (or 1 11/100 as a mixed number) (or 1.11 in decimal form). Learn the step-by-step solution to add 9/25 and 3/4 using Least Common Denominator and simplification.
Exact Answer
9/25 + 3/4 = 111/100
Simplified Fraction
111/100
Mixed Number
1 11/100
Decimal Value
1.11
Percentage
111%
Step-by-Step Solution: 9/25 + 3/4
Step 1
Find the Least Common Denominator (LCD)
The denominators 25 and 4 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 25 × 4 = 100.
LCD(25, 4) = 100
Step 2
Convert to Equivalent Fractions with Common Denominator 100
Multiply the numerator and denominator of 9/25 by 4, and multiply the numerator and denominator of 3/4 by 25 so both fractions share the common base 100.
9 × 4/25 × 4 = 36/100 and 3 × 25/4 × 25 = 75/100
Step 3
Add the Numerators
Now add the numerators (36 + 75 = 111) and keep the common denominator 100 unchanged.
36 + 75/100 = 111/100
Step 4
Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 111 and 100 is 1, confirming that 111/100 cannot be reduced further—it is already in its simplest irreducible form.
111/100
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (111) is greater than the denominator (100), divide 111 by 100: it goes in 1 whole time(s) with a remainder of 11, giving the mixed number 1 11/100.
111/100 = 111/100
Step 6
Decimal & Percentage Representation
Dividing the numerator 111 by denominator 100 yields an exact terminating decimal of 1.11 (or 111%).
111 ÷ 100 = 1.11 (111%)
Visual Representation
The diagram below illustrates 9/25 plus 3/4 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 111/100 |
| Mixed Number Form | 1 11/100 |
| Decimal Form | 1.11 |
| Percentage | 111% |
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Frequently Asked Questions
What is 9/25 plus 3/4 as a fraction?
9/25 + 3/4 in simplest fraction form is 111/100 (or 1 11/100 as a mixed number).
What is 9/25 plus 3/4 as a decimal?
9/25 + 3/4 converted to a decimal is 1.11.
What is 9/25 plus 3/4 as a percentage?
9/25 + 3/4 expressed as a percentage is 111%.
How do you write 9/25 plus 3/4 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 111/100 can be written as the mixed number 1 11/100.
Does 9/25 plus 3/4 result in a terminating or repeating decimal?
It results in an exact terminating decimal (1.11) because the denominator in simplest terms contains only prime factors 2 and/or 5.