What is 2/4 plus 6/10?
2/4 plus 6/10 equals 11/10 (or 1 1/10 as a mixed number) (or 1.1 in decimal form). Learn the step-by-step solution to add 2/4 and 6/10 using Least Common Denominator and simplification.
Exact Answer
2/4 + 6/10 = 11/10
Simplified Fraction
11/10
Mixed Number
1 1/10
Decimal Value
1.1
Percentage
110%
Step-by-Step Solution: 2/4 + 6/10
Step 1
Find the Least Common Denominator (LCD)
The denominators 4 and 10 share a common factor (GCD = 2). Finding their Least Common Multiple gives an LCD of 20 (which is smaller than their product 4 × 10 = 40, keeping the calculation simpler).
LCD(4, 10) = 20
Step 2
Convert to Equivalent Fractions with Common Denominator 20
Multiply the numerator and denominator of 2/4 by 5, and multiply the numerator and denominator of 6/10 by 2 so both fractions share the common base 20.
2 × 5/4 × 5 = 10/20 and 6 × 2/10 × 2 = 12/20
Step 3
Add the Numerators
Now add the numerators (10 + 12 = 22) and keep the common denominator 20 unchanged.
10 + 12/20 = 22/20
Step 4
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 22 and 20, which is 2. Divide both the numerator and denominator by 2.
22 ÷ 2/20 ÷ 2 = 11/10
Step 5
Convert Improper Fraction to a Mixed Number
Since the numerator (11) is greater than the denominator (10), divide 11 by 10: it goes in 1 whole time(s) with a remainder of 1, giving the mixed number 1 1/10.
11/10 = 11/10
Step 6
Decimal & Percentage Representation
Dividing the numerator 11 by denominator 10 yields an exact terminating decimal of 1.1 (or 110%).
11 ÷ 10 = 1.1 (110%)
Visual Representation
The diagram below illustrates 2/4 plus 6/10 visually:
+
=
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 11/10 |
| Mixed Number Form | 1 1/10 |
| Decimal Form | 1.1 |
| Percentage | 110% |
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Frequently Asked Questions
What is 2/4 plus 6/10 as a fraction?
2/4 + 6/10 in simplest fraction form is 11/10 (or 1 1/10 as a mixed number).
What is 2/4 plus 6/10 as a decimal?
2/4 + 6/10 converted to a decimal is 1.1.
What is 2/4 plus 6/10 as a percentage?
2/4 + 6/10 expressed as a percentage is 110%.
How do you write 2/4 plus 6/10 as a mixed number?
Because the numerator is greater than the denominator, the improper fraction 11/10 can be written as the mixed number 1 1/10.
Does 2/4 plus 6/10 result in a terminating or repeating decimal?
It results in an exact terminating decimal (1.1) because the denominator in simplest terms contains only prime factors 2 and/or 5.