What is 1/3 divided by 1/2? (Answer: 2/3)

Exact Answer

==================================================
Problem: What is 1/3 divided by 1/2?
Formula / Expression: 1/3 ÷ 1/2
Final Answer: 2/3
==================================================

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: 1/3 ÷ 1/2 = 1/3 × 2

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (1 × 2 = 2) and denominators (3 × 1 = 3).
Working: 1 × 2/3 × 1 = 2/3

Step 3: Check if the Fraction Can Be Simplified
The Greatest Common Divisor (GCD) of 2 and 3 is 1, confirming that 2/3 cannot be reduced further—it is already in its simplest irreducible form.
Working: 2/3

Step 4: Decimal & Percentage Representation
Dividing the numerator 2 by denominator 3 produces a repeating decimal (approximately 0.666667, or 66.6667%).
Working: 2 ÷ 3 = 0.666667 (66.6667%)

Key Values:
- Simplified Fraction: 2/3
- Mixed Number Form: 2/3
- Decimal Value: 0.666667
- Percentage: 66.6667%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-3-divided-by-1-2/
==================================================

1/3 ÷ 1/2 = 2/3

Simplified Fraction

2/3

Mixed Number

Proper (2/3)

Decimal Value

0.666667

Percentage

66.6667%

Reduce / Convert Fraction:

Convert Fraction:

Enter Decimal Number:

Enter Percentage: %

What is % of

From Value: To Value:

Simplify Ratio: :

First Number: Second Number:

Find All Factors of:

Dividend: ÷ Divisor:

√ Square Root of: OR Power (x^y): ^{^}

x² + x + = 0

Number (n! & log):

Circle Radius (r):

Side a: Side b:

Angle (Degrees): °

Numbers (comma separated):

Total Items (n): Choose (r):

Decimal Number:

Number (1–3999):

Step-by-Step Solution: 1/3 ÷ 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.

1/3 ÷ 1/2 = 1/3 × 2

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (1 × 2 = 2) and denominators (3 × 1 = 3).

1 × 2/3 × 1 = 2/3

Step 3

Check if the Fraction Can Be Simplified

The Greatest Common Divisor (GCD) of 2 and 3 is 1, confirming that 2/3 cannot be reduced further—it is already in its simplest irreducible form.

2/3

Step 4

Decimal & Percentage Representation

Dividing the numerator 2 by denominator 3 produces a repeating decimal (approximately 0.666667, or 66.6667%).

2 ÷ 3 = 0.666667 (66.6667%)

Visual Representation

The diagram below illustrates 1/3 divided by 1/2 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`2/3`
Mixed Number Form	`2/3`
Decimal Form	`0.666667`
Percentage	`66.6667%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 1/3 divided by 1/2 as a fraction?

1/3 ÷ 1/2 in simplest fraction form is 2/3.

What is 1/3 divided by 1/2 as a decimal?

1/3 ÷ 1/2 converted to a decimal is 0.666667.

What is 1/3 divided by 1/2 as a percentage?

1/3 ÷ 1/2 expressed as a percentage is 66.6667%.

Does 1/3 divided by 1/2 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.666667...) because the denominator contains prime factors other than 2 and 5.