Simplify 42374/34880 to Lowest Terms
42374/34880 simplified to its lowest terms is 21187/17440 (or 1.214851 in decimal). See how to reduce 42374/34880 using Greatest Common Divisor (GCD = 2).
Exact Answer
42374/34880 = 21187/17440
Simplified Fraction
21187/17440
Mixed Number
1 3747/17440
Decimal Value
1.214851
Percentage
121.4851%
Step-by-Step Solution: 42374/34880 = 21187/17440
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42374:
• Factors of 34880:
• Factors of 42374:
1, 2, 21187, 42374• Factors of 34880:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 109, 160, 218, 320
GCD(42374, 34880) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (42374) and denominator (34880) by 2.
42374 ÷ 2/34880 ÷ 2 = 21187/17440
Step 3
Convert Improper Fraction to a Mixed Number
Because 21187 is larger than 17440, 21187/17440 can also be written as the mixed number 1 3747/17440.
21187/17440 = 13747/17440
Visual Representation
The diagram below illustrates Simplify 42374/34880 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21187/17440 |
| Mixed Number Form | 1 3747/17440 |
| Decimal Form | 1.214851 |
| Percentage | 121.4851% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 42374/34880 in simplest form?
42374/34880 simplified to lowest terms is 21187/17440.
What is the GCD (GCF) of 42374 and 34880?
The Greatest Common Divisor (GCD) of 42374 and 34880 is 2.
What are equivalent fractions to 42374/34880?
Equivalent fractions to 42374/34880 include 42374/34880, 63561/52320, and 84748/69760.