What is 4/20 plus 1/2? (Answer: 7/10)

Exact Answer

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Problem: What is 4/20 plus 1/2?
Formula / Expression: 4/20 + 1/2
Final Answer: 7/10
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Step-by-Step Solution:

Step 1: Find the Least Common Denominator (LCD)
Notice that 20 is an exact multiple of 2 (2 × 10 = 20). The Least Common Denominator (LCD) is simply 20, meaning we only need to scale one fraction.
Working: LCD(20, 2) = 20

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

Step 3: Add the Numerators
Now add the numerators (4 + 10 = 14) and keep the common denominator 20 unchanged.
Working: 4 + 10/20 = 14/20

Step 4: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 14 and 20, which is 2. Divide both the numerator and denominator by 2.
Working: 14 ÷ 2/20 ÷ 2 = 7/10

Step 5: Decimal & Percentage Representation
Dividing the numerator 7 by denominator 10 yields an exact terminating decimal of 0.7 (or 70%).
Working: 7 ÷ 10 = 0.7 (70%)

Key Values:
- Simplified Fraction: 7/10
- Mixed Number Form: 7/10
- Decimal Value: 0.7
- Percentage: 70%

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Solved with FractionsCalc:
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4/20 + 1/2 = 7/10

Simplified Fraction

7/10

Mixed Number

Proper (7/10)

Decimal Value

0.7

Percentage

70%

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Step-by-Step Solution: 4/20 + 1/2

Step 1

Find the Least Common Denominator (LCD)

Notice that 20 is an exact multiple of 2 (2 × 10 = 20). The Least Common Denominator (LCD) is simply 20, meaning we only need to scale one fraction.

LCD(20, 2) = 20

Step 2

Convert to Equivalent Fractions with Common Denominator 20

Multiply the numerator and denominator of 4/20 by 1, and multiply the numerator and denominator of 1/2 by 10 so both fractions share the common base 20.

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

Step 3

Add the Numerators

Now add the numerators (4 + 10 = 14) and keep the common denominator 20 unchanged.

4 + 10/20 = 14/20

Step 4

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 14 and 20, which is 2. Divide both the numerator and denominator by 2.

14 ÷ 2/20 ÷ 2 = 7/10

Step 5

Decimal & Percentage Representation

Dividing the numerator 7 by denominator 10 yields an exact terminating decimal of 0.7 (or 70%).

7 ÷ 10 = 0.7 (70%)

Visual Representation

The diagram below illustrates 4/20 plus 1/2 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/10`
Mixed Number Form	`7/10`
Decimal Form	`0.7`
Percentage	`70%`

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Frequently Asked Questions

What is 4/20 plus 1/2 as a fraction?

4/20 + 1/2 in simplest fraction form is 7/10.

What is 4/20 plus 1/2 as a decimal?

4/20 + 1/2 converted to a decimal is 0.7.

What is 4/20 plus 1/2 as a percentage?

4/20 + 1/2 expressed as a percentage is 70%.

Does 4/20 plus 1/2 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.7) because the denominator in simplest terms contains only prime factors 2 and/or 5.