What is 1/10 divided by 1/2? (Answer: 1/5)

Exact Answer

==================================================
Problem: What is 1/10 divided by 1/2?
Formula / Expression: 1/10 ÷ 1/2
Final Answer: 1/5
==================================================

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: 1/10 ÷ 1/2 = 1/10 × 2

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (1 × 2 = 2) and denominators (10 × 1 = 10).
Working: 1 × 2/10 × 1 = 2/10

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 2 and 10, which is 2. Divide both the numerator and denominator by 2.
Working: 2 ÷ 2/10 ÷ 2 = 1/5

Step 4: Decimal & Percentage Representation
Dividing the numerator 1 by denominator 5 yields an exact terminating decimal of 0.2 (or 20%).
Working: 1 ÷ 5 = 0.2 (20%)

Key Values:
- Simplified Fraction: 1/5
- Mixed Number Form: 1/5
- Decimal Value: 0.2
- Percentage: 20%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-1-10-divided-by-1-2/
==================================================

1/10 ÷ 1/2 = 1/5

Simplified Fraction

1/5

Mixed Number

Proper (1/5)

Decimal Value

0.2

Percentage

20%

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: 1/10 ÷ 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.

1/10 ÷ 1/2 = 1/10 × 2

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (1 × 2 = 2) and denominators (10 × 1 = 10).

1 × 2/10 × 1 = 2/10

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 2 and 10, which is 2. Divide both the numerator and denominator by 2.

2 ÷ 2/10 ÷ 2 = 1/5

Step 4

Decimal & Percentage Representation

Dividing the numerator 1 by denominator 5 yields an exact terminating decimal of 0.2 (or 20%).

1 ÷ 5 = 0.2 (20%)

Visual Representation

The diagram below illustrates 1/10 divided by 1/2 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1/5`
Mixed Number Form	`1/5`
Decimal Form	`0.2`
Percentage	`20%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 1/10 divided by 1/2 as a fraction?

1/10 ÷ 1/2 in simplest fraction form is 1/5.

What is 1/10 divided by 1/2 as a decimal?

1/10 ÷ 1/2 converted to a decimal is 0.2.

What is 1/10 divided by 1/2 as a percentage?

1/10 ÷ 1/2 expressed as a percentage is 20%.

Does 1/10 divided by 1/2 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.2) because the denominator in simplest terms contains only prime factors 2 and/or 5.