Simplify 370/300 to Lowest Terms
370/300 simplified to its lowest terms is 37/30 (or 1.233333 in decimal). See how to reduce 370/300 using Greatest Common Divisor (GCD = 10).
Exact Answer
370/300 = 37/30
Simplified Fraction
37/30
Mixed Number
1 7/30
Decimal Value
1.233333
Percentage
123.3333%
Step-by-Step Solution: 370/300 = 37/30
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 370:
• Factors of 300:
• Factors of 370:
1, 2, 5, 10, 37, 74, 185, 370• Factors of 300:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
GCD(370, 300) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (370) and denominator (300) by 10.
370 ÷ 10/300 ÷ 10 = 37/30
Step 3
Convert Improper Fraction to a Mixed Number
Because 37 is larger than 30, 37/30 can also be written as the mixed number 1 7/30.
37/30 = 17/30
Visual Representation
The diagram below illustrates Simplify 370/300 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/30 |
| Mixed Number Form | 1 7/30 |
| Decimal Form | 1.233333 |
| Percentage | 123.3333% |
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Frequently Asked Questions
What is 370/300 in simplest form?
370/300 simplified to lowest terms is 37/30.
What is the GCD (GCF) of 370 and 300?
The Greatest Common Divisor (GCD) of 370 and 300 is 10.
What are equivalent fractions to 370/300?
Equivalent fractions to 370/300 include 74/60, 111/90, and 148/120.