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

Exact Answer

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Problem: What is 1/8 divided by 1/2?
Formula / Expression: 1/8 ÷ 1/2
Final Answer: 1/4
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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 1/2 to get 2/1.
Working: 1/8 ÷ 1/2 = 1/8 × 2

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (1 × 2 = 2) and denominators (8 × 1 = 8).
Working: 1 × 2/8 × 1 = 2/8

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 2 and 8, which is 2. Divide both the numerator and denominator by 2.
Working: 2 ÷ 2/8 ÷ 2 = 1/4

Step 4: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 4 yields an exact terminating decimal of 0.25 (or 25%).
Working: 1 ÷ 4 = 0.25 (25%)

Key Values:
- Simplified Fraction: 1/4
- Mixed Number Form: 1/4
- Decimal Value: 0.25
- Percentage: 25%

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

Simplified Fraction

1/4

Mixed Number

Proper (1/4)

Decimal Value

0.25

Percentage

25%

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Step-by-Step Solution: 1/8 ÷ 1/2

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 1/2 to get 2/1.

1/8 ÷ 1/2 = 1/8 × 2

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (1 × 2 = 2) and denominators (8 × 1 = 8).

1 × 2/8 × 1 = 2/8

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 2 and 8, which is 2. Divide both the numerator and denominator by 2.

2 ÷ 2/8 ÷ 2 = 1/4

Step 4

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 4 yields an exact terminating decimal of 0.25 (or 25%).

1 ÷ 4 = 0.25 (25%)

Visual Representation

The diagram below illustrates 1/8 divided by 1/2 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1/4`
Mixed Number Form	`1/4`
Decimal Form	`0.25`
Percentage	`25%`

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Frequently Asked Questions

What is 1/8 divided by 1/2 as a fraction?

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

What is 1/8 divided by 1/2 as a decimal?

1/8 ÷ 1/2 converted to a decimal is 0.25.

What is 1/8 divided by 1/2 as a percentage?

1/8 ÷ 1/2 expressed as a percentage is 25%.

Does 1/8 divided by 1/2 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.25) because the denominator in simplest terms contains only prime factors 2 and/or 5.