Simplify 270/840 to Lowest Terms
270/840 simplified to its lowest terms is 9/28 (or 0.321429 in decimal). See how to reduce 270/840 using Greatest Common Divisor (GCD = 30).
Exact Answer
270/840 = 9/28
Simplified Fraction
9/28
Mixed Number
Proper (9/28)
Decimal Value
0.321429
Percentage
32.1429%
Step-by-Step Solution: 270/840 = 9/28
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 270:
โข Factors of 840:
โข Factors of 270:
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270โข Factors of 840:
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28
GCD(270, 840) = 30
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (270) and denominator (840) by 30.
270 รท 30/840 รท 30 = 9/28
Visual Representation
The diagram below illustrates Simplify 270/840 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/28 |
| Mixed Number Form | 9/28 |
| Decimal Form | 0.321429 |
| Percentage | 32.1429% |
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Frequently Asked Questions
What is 270/840 in simplest form?
270/840 simplified to lowest terms is 9/28.
What is the GCD (GCF) of 270 and 840?
The Greatest Common Divisor (GCD) of 270 and 840 is 30.
What are equivalent fractions to 270/840?
Equivalent fractions to 270/840 include 18/56, 27/84, and 36/112.