Simplify 270/564 to Lowest Terms
270/564 simplified to its lowest terms is 45/94 (or 0.478723 in decimal). See how to reduce 270/564 using Greatest Common Divisor (GCD = 6).
Exact Answer
270/564 = 45/94
Simplified Fraction
45/94
Mixed Number
Proper (45/94)
Decimal Value
0.478723
Percentage
47.8723%
Step-by-Step Solution: 270/564 = 45/94
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 270:
• Factors of 564:
• Factors of 270:
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270• Factors of 564:
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD(270, 564) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (270) and denominator (564) by 6.
270 ÷ 6/564 ÷ 6 = 45/94
Visual Representation
The diagram below illustrates Simplify 270/564 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 45/94 |
| Mixed Number Form | 45/94 |
| Decimal Form | 0.478723 |
| Percentage | 47.8723% |
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Frequently Asked Questions
What is 270/564 in simplest form?
270/564 simplified to lowest terms is 45/94.
What is the GCD (GCF) of 270 and 564?
The Greatest Common Divisor (GCD) of 270 and 564 is 6.
What are equivalent fractions to 270/564?
Equivalent fractions to 270/564 include 90/188, 135/282, and 180/376.