Simplify 70/420 to Lowest Terms
70/420 simplified to its lowest terms is 1/6 (or 0.166667 in decimal). See how to reduce 70/420 using Greatest Common Divisor (GCD = 70).
Exact Answer
70/420 = 1/6
Simplified Fraction
1/6
Mixed Number
Proper (1/6)
Decimal Value
0.166667
Percentage
16.6667%
Step-by-Step Solution: 70/420 = 1/6
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 70:
• Factors of 420:
• Factors of 70:
1, 2, 5, 7, 10, 14, 35, 70• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
GCD(70, 420) = 70
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 70. Divide both the numerator (70) and denominator (420) by 70.
70 ÷ 70/420 ÷ 70 = 1/6
Visual Representation
The diagram below illustrates Simplify 70/420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/6 |
| Mixed Number Form | 1/6 |
| Decimal Form | 0.166667 |
| Percentage | 16.6667% |
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Frequently Asked Questions
What is 70/420 in simplest form?
70/420 simplified to lowest terms is 1/6.
What is the GCD (GCF) of 70 and 420?
The Greatest Common Divisor (GCD) of 70 and 420 is 70.
What are equivalent fractions to 70/420?
Equivalent fractions to 70/420 include 2/12, 3/18, and 4/24.