Simplify 380/874 to Lowest Terms
380/874 simplified to its lowest terms is 10/23 (or 0.434783 in decimal). See how to reduce 380/874 using Greatest Common Divisor (GCD = 38).
Exact Answer
380/874 = 10/23
Simplified Fraction
10/23
Mixed Number
Proper (10/23)
Decimal Value
0.434783
Percentage
43.4783%
Step-by-Step Solution: 380/874 = 10/23
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 380:
• Factors of 874:
• Factors of 380:
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380• Factors of 874:
1, 2, 19, 23, 38, 46, 437, 874
GCD(380, 874) = 38
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 38. Divide both the numerator (380) and denominator (874) by 38.
380 ÷ 38/874 ÷ 38 = 10/23
Visual Representation
The diagram below illustrates Simplify 380/874 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 10/23 |
| Mixed Number Form | 10/23 |
| Decimal Form | 0.434783 |
| Percentage | 43.4783% |
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Frequently Asked Questions
What is 380/874 in simplest form?
380/874 simplified to lowest terms is 10/23.
What is the GCD (GCF) of 380 and 874?
The Greatest Common Divisor (GCD) of 380 and 874 is 38.
What are equivalent fractions to 380/874?
Equivalent fractions to 380/874 include 20/46, 30/69, and 40/92.