What is 2/5 divided by 2/4? (Answer: 4/5)

Exact Answer

==================================================
Problem: What is 2/5 divided by 2/4?
Formula / Expression: 2/5 ÷ 2/4
Final Answer: 4/5
==================================================

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 2/4 to get 4/2.
Working: 2/5 ÷ 2/4 = 2/5 × 4/2

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (2 × 4 = 8) and denominators (5 × 2 = 10).
Working: 2 × 4/5 × 2 = 8/10

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 8 and 10, which is 2. Divide both the numerator and denominator by 2.
Working: 8 ÷ 2/10 ÷ 2 = 4/5

Step 4: Decimal & Percentage Representation
Dividing the numerator 4 by denominator 5 yields an exact terminating decimal of 0.8 (or 80%).
Working: 4 ÷ 5 = 0.8 (80%)

Key Values:
- Simplified Fraction: 4/5
- Mixed Number Form: 4/5
- Decimal Value: 0.8
- Percentage: 80%

--------------------------------------------------
Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-5-divided-by-2-4/
==================================================

2/5 ÷ 2/4 = 4/5

Simplified Fraction

4/5

Mixed Number

Proper (4/5)

Decimal Value

0.8

Percentage

80%

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: 2/5 ÷ 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.

2/5 ÷ 2/4 = 2/5 × 4/2

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (2 × 4 = 8) and denominators (5 × 2 = 10).

2 × 4/5 × 2 = 8/10

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 8 and 10, which is 2. Divide both the numerator and denominator by 2.

8 ÷ 2/10 ÷ 2 = 4/5

Step 4

Decimal & Percentage Representation

Dividing the numerator 4 by denominator 5 yields an exact terminating decimal of 0.8 (or 80%).

4 ÷ 5 = 0.8 (80%)

Visual Representation

The diagram below illustrates 2/5 divided by 2/4 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/5`
Mixed Number Form	`4/5`
Decimal Form	`0.8`
Percentage	`80%`

Was this solution helpful?

Help us improve our free step-by-step tools

Frequently Asked Questions

What is 2/5 divided by 2/4 as a fraction?

2/5 ÷ 2/4 in simplest fraction form is 4/5.

What is 2/5 divided by 2/4 as a decimal?

2/5 ÷ 2/4 converted to a decimal is 0.8.

What is 2/5 divided by 2/4 as a percentage?

2/5 ÷ 2/4 expressed as a percentage is 80%.

Does 2/5 divided by 2/4 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.8) because the denominator in simplest terms contains only prime factors 2 and/or 5.