What is 2/4 plus 3/5? (Answer: 11/10)

Exact Answer

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Problem: What is 2/4 plus 3/5?
Formula / Expression: 2/4 + 3/5
Final Answer: 1 1/10 (11/10)
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
The denominators 4 and 5 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 4 × 5 = 20.
Working: LCD(4, 5) = 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 3/5 by 4 so both fractions share the common base 20.
Working: 2 × 5/4 × 5 = 10/20 and 3 × 4/5 × 4 = 12/20

Step 3: Add the Numerators
Now add the numerators (10 + 12 = 22) and keep the common denominator 20 unchanged.
Working: 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.
Working: 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.
Working: 11/10 = 1 1/10

Step 6: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 10 yields an exact terminating decimal of 1.1 (or 110%).
Working: 11 ÷ 10 = 1.1 (110%)

Key Values:
- Simplified Fraction: 11/10
- Mixed Number Form: 1 1/10
- Decimal Value: 1.1
- Percentage: 110%

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Solved with FractionsCalc:
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2/4 + 3/5 = 11/10

Simplified Fraction

11/10

Mixed Number

1 1/10

Decimal Value

1.1

Percentage

110%

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Step-by-Step Solution: 2/4 + 3/5

Step 1

Find the Least Common Denominator (LCD)

The denominators 4 and 5 are coprime (they share no common factors other than 1). Therefore, their Least Common Denominator (LCD) is simply their direct product: 4 × 5 = 20.

LCD(4, 5) = 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 3/5 by 4 so both fractions share the common base 20.

2 × 5/4 × 5 = 10/20 and 3 × 4/5 × 4 = 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 3/5 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 3/5 as a fraction?

2/4 + 3/5 in simplest fraction form is 11/10 (or 1 1/10 as a mixed number).

What is 2/4 plus 3/5 as a decimal?

2/4 + 3/5 converted to a decimal is 1.1.

What is 2/4 plus 3/5 as a percentage?

2/4 + 3/5 expressed as a percentage is 110%.

How do you write 2/4 plus 3/5 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 3/5 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.