Simplify 642/564 to Lowest Terms
642/564 simplified to its lowest terms is 107/94 (or 1.138298 in decimal). See how to reduce 642/564 using Greatest Common Divisor (GCD = 6).
Exact Answer
642/564 = 107/94
Simplified Fraction
107/94
Mixed Number
1 13/94
Decimal Value
1.138298
Percentage
113.8298%
Step-by-Step Solution: 642/564 = 107/94
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 642:
• Factors of 564:
• Factors of 642:
1, 2, 3, 6, 107, 214, 321, 642• Factors of 564:
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD(642, 564) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (642) and denominator (564) by 6.
642 ÷ 6/564 ÷ 6 = 107/94
Step 3
Convert Improper Fraction to a Mixed Number
Because 107 is larger than 94, 107/94 can also be written as the mixed number 1 13/94.
107/94 = 113/94
Visual Representation
The diagram below illustrates Simplify 642/564 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 107/94 |
| Mixed Number Form | 1 13/94 |
| Decimal Form | 1.138298 |
| Percentage | 113.8298% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 642/564 in simplest form?
642/564 simplified to lowest terms is 107/94.
What is the GCD (GCF) of 642 and 564?
The Greatest Common Divisor (GCD) of 642 and 564 is 6.
What are equivalent fractions to 642/564?
Equivalent fractions to 642/564 include 214/188, 321/282, and 428/376.