What is 1/2 divided by 7/8?
1/2 divided by 7/8 equals 4/7 (or 0.571429 in decimal form). Learn the step-by-step solution to divide 1/2 and 7/8 using Least Common Denominator and simplification.
Exact Answer
1/2 ÷ 7/8 = 4/7
Simplified Fraction
4/7
Mixed Number
Proper (4/7)
Decimal Value
0.571429
Percentage
57.1429%
Step-by-Step Solution: 1/2 ÷ 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.
1/2 ÷ 7/8 = 1/2 × 8/7
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (1 × 8 = 8) and denominators (2 × 7 = 14).
1 × 8/2 × 7 = 8/14
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 8 and 14, which is 2. Divide both the numerator and denominator by 2.
8 ÷ 2/14 ÷ 2 = 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 1/2 divided by 7/8 visually:
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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 1/2 divided by 7/8 as a fraction?
1/2 ÷ 7/8 in simplest fraction form is 4/7.
What is 1/2 divided by 7/8 as a decimal?
1/2 ÷ 7/8 converted to a decimal is 0.571429.
What is 1/2 divided by 7/8 as a percentage?
1/2 ÷ 7/8 expressed as a percentage is 57.1429%.
Does 1/2 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.