Simplify 70/300 to Lowest Terms
70/300 simplified to its lowest terms is 7/30 (or 0.233333 in decimal). See how to reduce 70/300 using Greatest Common Divisor (GCD = 10).
Exact Answer
70/300 = 7/30
Simplified Fraction
7/30
Mixed Number
Proper (7/30)
Decimal Value
0.233333
Percentage
23.3333%
Step-by-Step Solution: 70/300 = 7/30
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 70:
• Factors of 300:
• Factors of 70:
1, 2, 5, 7, 10, 14, 35, 70• Factors of 300:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
GCD(70, 300) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (70) and denominator (300) by 10.
70 ÷ 10/300 ÷ 10 = 7/30
Visual Representation
The diagram below illustrates Simplify 70/300 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/30 |
| Mixed Number Form | 7/30 |
| Decimal Form | 0.233333 |
| Percentage | 23.3333% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 70/300 in simplest form?
70/300 simplified to lowest terms is 7/30.
What is the GCD (GCF) of 70 and 300?
The Greatest Common Divisor (GCD) of 70 and 300 is 10.
What are equivalent fractions to 70/300?
Equivalent fractions to 70/300 include 14/60, 21/90, and 28/120.