Simplify 370/288 to Lowest Terms
370/288 simplified to its lowest terms is 185/144 (or 1.284722 in decimal). See how to reduce 370/288 using Greatest Common Divisor (GCD = 2).
Exact Answer
370/288 = 185/144
Simplified Fraction
185/144
Mixed Number
1 41/144
Decimal Value
1.284722
Percentage
128.4722%
Step-by-Step Solution: 370/288 = 185/144
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 370:
• Factors of 288:
• Factors of 370:
1, 2, 5, 10, 37, 74, 185, 370• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(370, 288) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (370) and denominator (288) by 2.
370 ÷ 2/288 ÷ 2 = 185/144
Step 3
Convert Improper Fraction to a Mixed Number
Because 185 is larger than 144, 185/144 can also be written as the mixed number 1 41/144.
185/144 = 141/144
Visual Representation
The diagram below illustrates Simplify 370/288 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 185/144 |
| Mixed Number Form | 1 41/144 |
| Decimal Form | 1.284722 |
| Percentage | 128.4722% |
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Frequently Asked Questions
What is 370/288 in simplest form?
370/288 simplified to lowest terms is 185/144.
What is the GCD (GCF) of 370 and 288?
The Greatest Common Divisor (GCD) of 370 and 288 is 2.
What are equivalent fractions to 370/288?
Equivalent fractions to 370/288 include 370/288, 555/432, and 740/576.