What is 2/8 divided by 2/4? (Answer: 1/2)

Exact Answer

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Problem: What is 2/8 divided by 2/4?
Formula / Expression: 2/8 ÷ 2/4
Final Answer: 1/2
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Step-by-Step Solution:

Step 1: Find the Reciprocal of the Second Fraction
Dividing by a fraction is equivalent to multiplying by its reciprocal ("Keep, Change, Flip"). Invert the second fraction 2/4 to get 4/2.
Working: 2/8 ÷ 2/4 = 2/8 × 4/2

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (2 × 4 = 8) and denominators (8 × 2 = 16).
Working: 2 × 4/8 × 2 = 8/16

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 8 and 16, which is 8. Divide both the numerator and denominator by 8.
Working: 8 ÷ 8/16 ÷ 8 = 1/2

Step 4: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 2 yields an exact terminating decimal of 0.5 (or 50%).
Working: 1 ÷ 2 = 0.5 (50%)

Key Values:
- Simplified Fraction: 1/2
- Mixed Number Form: 1/2
- Decimal Value: 0.5
- Percentage: 50%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-divided-by-2-4/
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2/8 ÷ 2/4 = 1/2

Simplified Fraction

1/2

Mixed Number

Proper (1/2)

Decimal Value

0.5

Percentage

50%

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Step-by-Step Solution: 2/8 ÷ 2/4

Step 1

Find the Reciprocal of the Second Fraction

Dividing by a fraction is equivalent to multiplying by its reciprocal ("Keep, Change, Flip"). Invert the second fraction 2/4 to get 4/2.

2/8 ÷ 2/4 = 2/8 × 4/2

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (2 × 4 = 8) and denominators (8 × 2 = 16).

2 × 4/8 × 2 = 8/16

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 8 and 16, which is 8. Divide both the numerator and denominator by 8.

8 ÷ 8/16 ÷ 8 = 1/2

Step 4

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 2 yields an exact terminating decimal of 0.5 (or 50%).

1 ÷ 2 = 0.5 (50%)

Visual Representation

The diagram below illustrates 2/8 divided by 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1/2`
Mixed Number Form	`1/2`
Decimal Form	`0.5`
Percentage	`50%`

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Frequently Asked Questions

What is 2/8 divided by 2/4 as a fraction?

2/8 ÷ 2/4 in simplest fraction form is 1/2.

What is 2/8 divided by 2/4 as a decimal?

2/8 ÷ 2/4 converted to a decimal is 0.5.

What is 2/8 divided by 2/4 as a percentage?

2/8 ÷ 2/4 expressed as a percentage is 50%.

Does 2/8 divided by 2/4 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.5) because the denominator in simplest terms contains only prime factors 2 and/or 5.