What is 2/40 plus 2/4? (Answer: 11/20)

Exact Answer

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Problem: What is 2/40 plus 2/4?
Formula / Expression: 2/40 + 2/4
Final Answer: 11/20
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 40 is an exact multiple of 4 (4 × 10 = 40). The Least Common Denominator (LCD) is simply 40, meaning we only need to scale one fraction.
Working: LCD(40, 4) = 40

Step 2: Convert to Equivalent Fractions with Common Denominator 40
Multiply the numerator and denominator of 2/40 by 1, and multiply the numerator and denominator of 2/4 by 10 so both fractions share the common base 40.
Working: 2 × 1/40 × 1 = 2/40 and 2 × 10/4 × 10 = 20/40

Step 3: Add the Numerators
Now add the numerators (2 + 20 = 22) and keep the common denominator 40 unchanged.
Working: 2 + 20/40 = 22/40

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 22 and 40, which is 2. Divide both the numerator and denominator by 2.
Working: 22 ÷ 2/40 ÷ 2 = 11/20

Step 5: Decimal & Percentage Representation
Dividing the numerator 11 by denominator 20 yields an exact terminating decimal of 0.55 (or 55%).
Working: 11 ÷ 20 = 0.55 (55%)

Key Values:
- Simplified Fraction: 11/20
- Mixed Number Form: 11/20
- Decimal Value: 0.55
- Percentage: 55%

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Solved with FractionsCalc:
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2/40 + 2/4 = 11/20

Simplified Fraction

11/20

Mixed Number

Proper (11/20)

Decimal Value

0.55

Percentage

55%

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Step-by-Step Solution: 2/40 + 2/4

Step 1

Find the Least Common Denominator (LCD)

Notice that 40 is an exact multiple of 4 (4 × 10 = 40). The Least Common Denominator (LCD) is simply 40, meaning we only need to scale one fraction.

LCD(40, 4) = 40

Step 2

Convert to Equivalent Fractions with Common Denominator 40

Multiply the numerator and denominator of 2/40 by 1, and multiply the numerator and denominator of 2/4 by 10 so both fractions share the common base 40.

2 × 1/40 × 1 = 2/40 and 2 × 10/4 × 10 = 20/40

Step 3

Add the Numerators

Now add the numerators (2 + 20 = 22) and keep the common denominator 40 unchanged.

2 + 20/40 = 22/40

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 22 and 40, which is 2. Divide both the numerator and denominator by 2.

22 ÷ 2/40 ÷ 2 = 11/20

Step 5

Decimal & Percentage Representation

Dividing the numerator 11 by denominator 20 yields an exact terminating decimal of 0.55 (or 55%).

11 ÷ 20 = 0.55 (55%)

Visual Representation

The diagram below illustrates 2/40 plus 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/20`
Mixed Number Form	`11/20`
Decimal Form	`0.55`
Percentage	`55%`

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Frequently Asked Questions

What is 2/40 plus 2/4 as a fraction?

2/40 + 2/4 in simplest fraction form is 11/20.

What is 2/40 plus 2/4 as a decimal?

2/40 + 2/4 converted to a decimal is 0.55.

What is 2/40 plus 2/4 as a percentage?

2/40 + 2/4 expressed as a percentage is 55%.

Does 2/40 plus 2/4 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.55) because the denominator in simplest terms contains only prime factors 2 and/or 5.