Simplify 140/210 to Lowest Terms
140/210 simplified to its lowest terms is 2/3 (or 0.666667 in decimal). See how to reduce 140/210 using Greatest Common Divisor (GCD = 70).
Exact Answer
140/210 = 2/3
Simplified Fraction
2/3
Mixed Number
Proper (2/3)
Decimal Value
0.666667
Percentage
66.6667%
Step-by-Step Solution: 140/210 = 2/3
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 140:
โข Factors of 210:
โข Factors of 140:
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140โข Factors of 210:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
GCD(140, 210) = 70
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 70. Divide both the numerator (140) and denominator (210) by 70.
140 รท 70/210 รท 70 = 2/3
Visual Representation
The diagram below illustrates Simplify 140/210 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/3 |
| Mixed Number Form | 2/3 |
| Decimal Form | 0.666667 |
| Percentage | 66.6667% |
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Frequently Asked Questions
What is 140/210 in simplest form?
140/210 simplified to lowest terms is 2/3.
What is the GCD (GCF) of 140 and 210?
The Greatest Common Divisor (GCD) of 140 and 210 is 70.
What are equivalent fractions to 140/210?
Equivalent fractions to 140/210 include 4/6, 6/9, and 8/12.