What is 3/8 divided by 1/2?
3/8 divided by 1/2 equals 3/4 (or 0.75 in decimal form). Learn the step-by-step solution to divide 3/8 and 1/2 using Least Common Denominator and simplification.
Exact Answer
3/8 ÷ 1/2 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 3/8 ÷ 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.
3/8 ÷ 1/2 = 3/8 × 2
Step 2
Multiply the Numerators and Denominators
Multiply the new numerators (3 × 2 = 6) and denominators (8 × 1 = 8).
3 × 2/8 × 1 = 6/8
Step 3
Simplify the Fraction to Lowest Terms
Find the Greatest Common Divisor (GCD) of 6 and 8, which is 2. Divide both the numerator and denominator by 2.
6 ÷ 2/8 ÷ 2 = 3/4
Step 4
Decimal & Percentage Representation
Dividing the numerator 3 by denominator 4 yields an exact terminating decimal of 0.75 (or 75%).
3 ÷ 4 = 0.75 (75%)
Visual Representation
The diagram below illustrates 3/8 divided by 1/2 visually:
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Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
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Frequently Asked Questions
What is 3/8 divided by 1/2 as a fraction?
3/8 ÷ 1/2 in simplest fraction form is 3/4.
What is 3/8 divided by 1/2 as a decimal?
3/8 ÷ 1/2 converted to a decimal is 0.75.
What is 3/8 divided by 1/2 as a percentage?
3/8 ÷ 1/2 expressed as a percentage is 75%.
Does 3/8 divided by 1/2 result in a terminating or repeating decimal?
It results in an exact terminating decimal (0.75) because the denominator in simplest terms contains only prime factors 2 and/or 5.