What is 3/6 plus 3/4?
3/6 plus 3/4 equals 5/4 (or 1 1/4 as a mixed number) (or 1.25 in decimal form). Learn the step-by-step solution to add 3/6 and 3/4 using Least Common Denominator and simplification.
Exact Answer
3/6 + 3/4 = 5/4
Simplified Fraction
5/4
Mixed Number
1 1/4
Decimal Value
1.25
Percentage
125%
Step-by-Step Solution: 3/6 + 3/4
Step 1
Find the Least Common Denominator (LCD)
The denominators 6 and 4 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 12 (which is smaller than their product 6 × 4 = 24, keeping the calculation simpler).
LCD(6, 4) = 12
Step 2
Convert to Equivalent Fractions with Common Denominator 12
Multiply the numerator and denominator of 3/6 by 2, and multiply the numerator and denominator of 3/4 by 3 so both fractions share the common base 12.
3 × 2/6 × 2 = 6/12 and 3 × 3/4 × 3 = 9/12
Step 3
Add the Numerators
Now add the numerators (6 + 9 = 15) and keep the common denominator 12 unchanged.
6 + 9/12 = 15/12
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 15 and 12, which is 3. Divide both the numerator and denominator by 3.
15 ÷ 3/12 ÷ 3 = 5/4
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (5) is greater than the denominator (4), divide 5 by 4: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/4.
5/4 = 11/4
Step 6
Decimal & Percentage Representation
Dividing the numerator 5 by denominator 4 yields an exact terminating decimal of 1.25 (or 125%).
5 ÷ 4 = 1.25 (125%)
Visual Representation
The diagram below illustrates 3/6 plus 3/4 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/4 |
| Mixed Number Form | 1 1/4 |
| Decimal Form | 1.25 |
| Percentage | 125% |
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Frequently Asked Questions
What is 3/6 plus 3/4 as a fraction?
3/6 + 3/4 in simplest fraction form is 5/4 (or 1 1/4 as a mixed number).
What is 3/6 plus 3/4 as a decimal?
3/6 + 3/4 converted to a decimal is 1.25.
What is 3/6 plus 3/4 as a percentage?
3/6 + 3/4 expressed as a percentage is 125%.
How do you write 3/6 plus 3/4 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 5/4 can be written as the mixed number 1 1/4.
Does 3/6 plus 3/4 result in a terminating or repeating decimal?
It results in an exact terminating decimal (1.25) because the denominator in simplest terms contains only prime factors 2 and/or 5.