What is 370/284 Simplified? (Reduce 370/284 to Lowest Terms: 185/142)

Exact Answer

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Problem: Simplify 370/284 to Lowest Terms
Formula / Expression: 370/284 = 185/142
Final Answer: 1 43/142 (185/142)
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 370: 1, 2, 5, 10, 37, 74, 185, 370
• Factors of 284: 1, 2, 4, 71, 142, 284
Working: GCD(370, 284) = 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 (284) by 2.
Working: 370 ÷ 2/284 ÷ 2 = 185/142

Step 3: Convert Improper Fraction to a Mixed Number
Because 185 is larger than 142, 185/142 can also be written as the mixed number 1 43/142.
Working: 185/142 = 1 43/142

Key Values:
- Simplified Fraction: 185/142
- Mixed Number Form: 1 43/142
- Decimal Value: 1.302817
- Percentage: 130.2817%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-370-284/
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370/284 = 185/142

Simplified Fraction

185/142

Mixed Number

1 43/142

Decimal Value

1.302817

Percentage

130.2817%

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Step-by-Step Solution: 370/284 = 185/142

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 370: 1, 2, 5, 10, 37, 74, 185, 370
• Factors of 284: 1, 2, 4, 71, 142, 284

GCD(370, 284) = 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 (284) by 2.

370 ÷ 2/284 ÷ 2 = 185/142

Step 3

Convert Improper Fraction to a Mixed Number

Because 185 is larger than 142, 185/142 can also be written as the mixed number 1 43/142.

185/142 = 143/142

Visual Representation

The diagram below illustrates Simplify 370/284 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`185/142`
Mixed Number Form	`1 43/142`
Decimal Form	`1.302817`
Percentage	`130.2817%`

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Frequently Asked Questions

What is 370/284 in simplest form?

370/284 simplified to lowest terms is 185/142.

What is the GCD (GCF) of 370 and 284?

The Greatest Common Divisor (GCD) of 370 and 284 is 2.

What are equivalent fractions to 370/284?

Equivalent fractions to 370/284 include 370/284, 555/426, and 740/568.