What is 2/8 divided by 2/3? (Answer: 3/8)

Exact Answer

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Problem: What is 2/8 divided by 2/3?
Formula / Expression: 2/8 ÷ 2/3
Final Answer: 3/8
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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 2/3 to get 3/2.
Working: 2/8 ÷ 2/3 = 2/8 × 3/2

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (2 × 3 = 6) and denominators (8 × 2 = 16).
Working: 2 × 3/8 × 2 = 6/16

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 6 and 16, which is 2. Divide both the numerator and denominator by 2.
Working: 6 ÷ 2/16 ÷ 2 = 3/8

Step 4: Decimal & Percentage Representation
Dividing the numerator 3 by denominator 8 yields an exact terminating decimal of 0.375 (or 37.5%).
Working: 3 ÷ 8 = 0.375 (37.5%)

Key Values:
- Simplified Fraction: 3/8
- Mixed Number Form: 3/8
- Decimal Value: 0.375
- Percentage: 37.5%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-8-divided-by-2-3/
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2/8 ÷ 2/3 = 3/8

Simplified Fraction

3/8

Mixed Number

Proper (3/8)

Decimal Value

0.375

Percentage

37.5%

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Step-by-Step Solution: 2/8 ÷ 2/3

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 2/3 to get 3/2.

2/8 ÷ 2/3 = 2/8 × 3/2

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (2 × 3 = 6) and denominators (8 × 2 = 16).

2 × 3/8 × 2 = 6/16

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 6 and 16, which is 2. Divide both the numerator and denominator by 2.

6 ÷ 2/16 ÷ 2 = 3/8

Step 4

Decimal & Percentage Representation

Dividing the numerator 3 by denominator 8 yields an exact terminating decimal of 0.375 (or 37.5%).

3 ÷ 8 = 0.375 (37.5%)

Visual Representation

The diagram below illustrates 2/8 divided by 2/3 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/8`
Mixed Number Form	`3/8`
Decimal Form	`0.375`
Percentage	`37.5%`

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Frequently Asked Questions

What is 2/8 divided by 2/3 as a fraction?

2/8 ÷ 2/3 in simplest fraction form is 3/8.

What is 2/8 divided by 2/3 as a decimal?

2/8 ÷ 2/3 converted to a decimal is 0.375.

What is 2/8 divided by 2/3 as a percentage?

2/8 ÷ 2/3 expressed as a percentage is 37.5%.

Does 2/8 divided by 2/3 result in a terminating or repeating decimal?

It results in an exact terminating decimal (0.375) because the denominator in simplest terms contains only prime factors 2 and/or 5.