What is 2/4 divided by 7/8? (Answer: 4/7)

Exact Answer

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Problem: What is 2/4 divided by 7/8?
Formula / Expression: 2/4 ÷ 7/8
Final Answer: 4/7
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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 7/8 to get 8/7.
Working: 2/4 ÷ 7/8 = 2/4 × 8/7

Step 2: Multiply the Numerators and Denominators
Multiply the new numerators (2 × 8 = 16) and denominators (4 × 7 = 28).
Working: 2 × 8/4 × 7 = 16/28

Step 3: Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 16 and 28, which is 4. Divide both the numerator and denominator by 4.
Working: 16 ÷ 4/28 ÷ 4 = 4/7

Step 4: Decimal & Percentage Representation
Dividing the numerator 4 by denominator 7 produces a repeating decimal (approximately 0.571429, or 57.1429%).
Working: 4 ÷ 7 = 0.571429 (57.1429%)

Key Values:
- Simplified Fraction: 4/7
- Mixed Number Form: 4/7
- Decimal Value: 0.571429
- Percentage: 57.1429%

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Solved with FractionsCalc:
https://fractionscalc.com/what-is-2-4-divided-by-7-8/
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2/4 ÷ 7/8 = 4/7

Simplified Fraction

4/7

Mixed Number

Proper (4/7)

Decimal Value

0.571429

Percentage

57.1429%

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Step-by-Step Solution: 2/4 ÷ 7/8

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 7/8 to get 8/7.

2/4 ÷ 7/8 = 2/4 × 8/7

Step 2

Multiply the Numerators and Denominators

Multiply the new numerators (2 × 8 = 16) and denominators (4 × 7 = 28).

2 × 8/4 × 7 = 16/28

Step 3

Simplify the Fraction to Lowest Terms

Find the Greatest Common Divisor (GCD) of 16 and 28, which is 4. Divide both the numerator and denominator by 4.

16 ÷ 4/28 ÷ 4 = 4/7

Step 4

Decimal & Percentage Representation

Dividing the numerator 4 by denominator 7 produces a repeating decimal (approximately 0.571429, or 57.1429%).

4 ÷ 7 = 0.571429 (57.1429%)

Visual Representation

The diagram below illustrates 2/4 divided by 7/8 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/7`
Mixed Number Form	`4/7`
Decimal Form	`0.571429`
Percentage	`57.1429%`

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Frequently Asked Questions

What is 2/4 divided by 7/8 as a fraction?

2/4 ÷ 7/8 in simplest fraction form is 4/7.

What is 2/4 divided by 7/8 as a decimal?

2/4 ÷ 7/8 converted to a decimal is 0.571429.

What is 2/4 divided by 7/8 as a percentage?

2/4 ÷ 7/8 expressed as a percentage is 57.1429%.

Does 2/4 divided by 7/8 result in a terminating or repeating decimal?

It results in a repeating decimal (approximately 0.571429...) because the denominator contains prime factors other than 2 and 5.